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Finding the Fourth Proportional to 2,029.76, 2,799.04 and 1,504.88

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Solution

The fourth proportional to 2,029.76, 2,799.04 and 1,504.88 is: 2,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.76 : 2,799.04 = 1,504.88 : x
  2. Step 2: Convert to fraction form
    2,029.76/2,799.04 = 1,504.88/x
  3. Step 3: Cross multiply
    2,029.76x = 2,799.04 × 1,504.88
  4. Step 4: Simplify right side
    2,029.76x = 4,212,219.32
  5. Step 5: Solve for x
    x = 4,212,219.32/2,029.76
  6. Step 6: Final answer
    x = 2,075.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.