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Finding the Fourth Proportional to 1,569.09, 2,353.66 and 473.47

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Solution

The fourth proportional to 1,569.09, 2,353.66 and 473.47 is: 710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.09 : 2,353.66 = 473.47 : x
  2. Step 2: Convert to fraction form
    1,569.09/2,353.66 = 473.47/x
  3. Step 3: Cross multiply
    1,569.09x = 2,353.66 × 473.47
  4. Step 4: Simplify right side
    1,569.09x = 1,114,373.26
  5. Step 5: Solve for x
    x = 1,114,373.26/1,569.09
  6. Step 6: Final answer
    x = 710.20

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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.