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Finding the Fourth Proportional to 1,539.10, 2,305.68 and 887.86

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Solution

The fourth proportional to 1,539.10, 2,305.68 and 887.86 is: 1,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.10 : 2,305.68 = 887.86 : x
  2. Step 2: Convert to fraction form
    1,539.10/2,305.68 = 887.86/x
  3. Step 3: Cross multiply
    1,539.10x = 2,305.68 × 887.86
  4. Step 4: Simplify right side
    1,539.10x = 2,047,121.04
  5. Step 5: Solve for x
    x = 2,047,121.04/1,539.10
  6. Step 6: Final answer
    x = 1,330.08

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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.