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Finding the Fourth Proportional to 2,478.58, 3,420.19 and 1,483.84

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Solution

The fourth proportional to 2,478.58, 3,420.19 and 1,483.84 is: 2,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.58 : 3,420.19 = 1,483.84 : x
  2. Step 2: Convert to fraction form
    2,478.58/3,420.19 = 1,483.84/x
  3. Step 3: Cross multiply
    2,478.58x = 3,420.19 × 1,483.84
  4. Step 4: Simplify right side
    2,478.58x = 5,075,001.62
  5. Step 5: Solve for x
    x = 5,075,001.62/2,478.58
  6. Step 6: Final answer
    x = 2,047.54

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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.