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Finding the Fourth Proportional to 3,407.04, 4,702.32 and 2,010.60

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Solution

The fourth proportional to 3,407.04, 4,702.32 and 2,010.60 is: 2,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.04 : 4,702.32 = 2,010.60 : x
  2. Step 2: Convert to fraction form
    3,407.04/4,702.32 = 2,010.60/x
  3. Step 3: Cross multiply
    3,407.04x = 4,702.32 × 2,010.60
  4. Step 4: Simplify right side
    3,407.04x = 9,454,484.59
  5. Step 5: Solve for x
    x = 9,454,484.59/3,407.04
  6. Step 6: Final answer
    x = 2,774.98

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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.