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Finding the Fourth Proportional to 1,605.29, 2,411.57 and 1,058.54

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Solution

The fourth proportional to 1,605.29, 2,411.57 and 1,058.54 is: 1,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.29 : 2,411.57 = 1,058.54 : x
  2. Step 2: Convert to fraction form
    1,605.29/2,411.57 = 1,058.54/x
  3. Step 3: Cross multiply
    1,605.29x = 2,411.57 × 1,058.54
  4. Step 4: Simplify right side
    1,605.29x = 2,552,733.90
  5. Step 5: Solve for x
    x = 2,552,733.90/1,605.29
  6. Step 6: Final answer
    x = 1,590.21

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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.