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Finding the Fourth Proportional to 2,047.24, 3,070.80 and 508.24

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Solution

The fourth proportional to 2,047.24, 3,070.80 and 508.24 is: 762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.24 : 3,070.80 = 508.24 : x
  2. Step 2: Convert to fraction form
    2,047.24/3,070.80 = 508.24/x
  3. Step 3: Cross multiply
    2,047.24x = 3,070.80 × 508.24
  4. Step 4: Simplify right side
    2,047.24x = 1,560,703.39
  5. Step 5: Solve for x
    x = 1,560,703.39/2,047.24
  6. Step 6: Final answer
    x = 762.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.