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Finding the Fourth Proportional to 1,641.46, 2,460.14 and 1,054.90

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Solution

The fourth proportional to 1,641.46, 2,460.14 and 1,054.90 is: 1,581.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.46 : 2,460.14 = 1,054.90 : x
  2. Step 2: Convert to fraction form
    1,641.46/2,460.14 = 1,054.90/x
  3. Step 3: Cross multiply
    1,641.46x = 2,460.14 × 1,054.90
  4. Step 4: Simplify right side
    1,641.46x = 2,595,210.69
  5. Step 5: Solve for x
    x = 2,595,210.69/1,641.46
  6. Step 6: Final answer
    x = 1,581.04

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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.