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Finding the Fourth Proportional to 2,411.76, 3,328.18 and 1,702.86

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Solution

The fourth proportional to 2,411.76, 3,328.18 and 1,702.86 is: 2,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.76 : 3,328.18 = 1,702.86 : x
  2. Step 2: Convert to fraction form
    2,411.76/3,328.18 = 1,702.86/x
  3. Step 3: Cross multiply
    2,411.76x = 3,328.18 × 1,702.86
  4. Step 4: Simplify right side
    2,411.76x = 5,667,424.59
  5. Step 5: Solve for x
    x = 5,667,424.59/2,411.76
  6. Step 6: Final answer
    x = 2,349.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.