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Finding the Fourth Proportional to 1,565.33, 2,348.05 and 1,070.56

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Solution

The fourth proportional to 1,565.33, 2,348.05 and 1,070.56 is: 1,605.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.33 : 2,348.05 = 1,070.56 : x
  2. Step 2: Convert to fraction form
    1,565.33/2,348.05 = 1,070.56/x
  3. Step 3: Cross multiply
    1,565.33x = 2,348.05 × 1,070.56
  4. Step 4: Simplify right side
    1,565.33x = 2,513,730.29
  5. Step 5: Solve for x
    x = 2,513,730.29/1,565.33
  6. Step 6: Final answer
    x = 1,605.88

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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.