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Finding the Fourth Proportional to 2,702.40, 4,048.32 and 2,356.80

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Solution

The fourth proportional to 2,702.40, 4,048.32 and 2,356.80 is: 3,530.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.40 : 4,048.32 = 2,356.80 : x
  2. Step 2: Convert to fraction form
    2,702.40/4,048.32 = 2,356.80/x
  3. Step 3: Cross multiply
    2,702.40x = 4,048.32 × 2,356.80
  4. Step 4: Simplify right side
    2,702.40x = 9,541,080.58
  5. Step 5: Solve for x
    x = 9,541,080.58/2,702.40
  6. Step 6: Final answer
    x = 3,530.60

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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.