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Finding the Fourth Proportional to 1,687.07, 2,329.62 and 1,058.68

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Solution

The fourth proportional to 1,687.07, 2,329.62 and 1,058.68 is: 1,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.07 : 2,329.62 = 1,058.68 : x
  2. Step 2: Convert to fraction form
    1,687.07/2,329.62 = 1,058.68/x
  3. Step 3: Cross multiply
    1,687.07x = 2,329.62 × 1,058.68
  4. Step 4: Simplify right side
    1,687.07x = 2,466,322.10
  5. Step 5: Solve for x
    x = 2,466,322.10/1,687.07
  6. Step 6: Final answer
    x = 1,461.90

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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.