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Finding the Fourth Proportional to 2,339.36, 3,508.08 and 877.76

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Solution

The fourth proportional to 2,339.36, 3,508.08 and 877.76 is: 1,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.36 : 3,508.08 = 877.76 : x
  2. Step 2: Convert to fraction form
    2,339.36/3,508.08 = 877.76/x
  3. Step 3: Cross multiply
    2,339.36x = 3,508.08 × 877.76
  4. Step 4: Simplify right side
    2,339.36x = 3,079,252.30
  5. Step 5: Solve for x
    x = 3,079,252.30/2,339.36
  6. Step 6: Final answer
    x = 1,316.28

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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.