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Finding the Fourth Proportional to 1,569.06, 2,353.68 and 595.14

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Solution

The fourth proportional to 1,569.06, 2,353.68 and 595.14 is: 892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.06 : 2,353.68 = 595.14 : x
  2. Step 2: Convert to fraction form
    1,569.06/2,353.68 = 595.14/x
  3. Step 3: Cross multiply
    1,569.06x = 2,353.68 × 595.14
  4. Step 4: Simplify right side
    1,569.06x = 1,400,769.12
  5. Step 5: Solve for x
    x = 1,400,769.12/1,569.06
  6. Step 6: Final answer
    x = 892.74

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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.