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Finding the Fourth Proportional to 1,689.46, 2,331.41 and 1,158.32

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Solution

The fourth proportional to 1,689.46, 2,331.41 and 1,158.32 is: 1,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.46 : 2,331.41 = 1,158.32 : x
  2. Step 2: Convert to fraction form
    1,689.46/2,331.41 = 1,158.32/x
  3. Step 3: Cross multiply
    1,689.46x = 2,331.41 × 1,158.32
  4. Step 4: Simplify right side
    1,689.46x = 2,700,518.87
  5. Step 5: Solve for x
    x = 2,700,518.87/1,689.46
  6. Step 6: Final answer
    x = 1,598.45

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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.