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Finding the Fourth Proportional to 2,339.72, 3,506.44 and 877.40

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Solution

The fourth proportional to 2,339.72, 3,506.44 and 877.40 is: 1,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.72 : 3,506.44 = 877.40 : x
  2. Step 2: Convert to fraction form
    2,339.72/3,506.44 = 877.40/x
  3. Step 3: Cross multiply
    2,339.72x = 3,506.44 × 877.40
  4. Step 4: Simplify right side
    2,339.72x = 3,076,550.46
  5. Step 5: Solve for x
    x = 3,076,550.46/2,339.72
  6. Step 6: Final answer
    x = 1,314.92

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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.