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Finding the Fourth Proportional to 1,518.04, 2,277.14 and 869.40

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Solution

The fourth proportional to 1,518.04, 2,277.14 and 869.40 is: 1,304.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.04 : 2,277.14 = 869.40 : x
  2. Step 2: Convert to fraction form
    1,518.04/2,277.14 = 869.40/x
  3. Step 3: Cross multiply
    1,518.04x = 2,277.14 × 869.40
  4. Step 4: Simplify right side
    1,518.04x = 1,979,745.52
  5. Step 5: Solve for x
    x = 1,979,745.52/1,518.04
  6. Step 6: Final answer
    x = 1,304.15

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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.