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Finding the Fourth Proportional to 1,757.10, 2,424.42 and 1,058.46

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Solution

The fourth proportional to 1,757.10, 2,424.42 and 1,058.46 is: 1,460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.10 : 2,424.42 = 1,058.46 : x
  2. Step 2: Convert to fraction form
    1,757.10/2,424.42 = 1,058.46/x
  3. Step 3: Cross multiply
    1,757.10x = 2,424.42 × 1,058.46
  4. Step 4: Simplify right side
    1,757.10x = 2,566,151.59
  5. Step 5: Solve for x
    x = 2,566,151.59/1,757.10
  6. Step 6: Final answer
    x = 1,460.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.