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Finding the Fourth Proportional to 1,569.16, 2,354.08 and 473.62

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Solution

The fourth proportional to 1,569.16, 2,354.08 and 473.62 is: 710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.16 : 2,354.08 = 473.62 : x
  2. Step 2: Convert to fraction form
    1,569.16/2,354.08 = 473.62/x
  3. Step 3: Cross multiply
    1,569.16x = 2,354.08 × 473.62
  4. Step 4: Simplify right side
    1,569.16x = 1,114,939.37
  5. Step 5: Solve for x
    x = 1,114,939.37/1,569.16
  6. Step 6: Final answer
    x = 710.53

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