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Finding the Fourth Proportional to 2,557.52, 3,836.28 and 802.46

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Solution

The fourth proportional to 2,557.52, 3,836.28 and 802.46 is: 1,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.52 : 3,836.28 = 802.46 : x
  2. Step 2: Convert to fraction form
    2,557.52/3,836.28 = 802.46/x
  3. Step 3: Cross multiply
    2,557.52x = 3,836.28 × 802.46
  4. Step 4: Simplify right side
    2,557.52x = 3,078,442.07
  5. Step 5: Solve for x
    x = 3,078,442.07/2,557.52
  6. Step 6: Final answer
    x = 1,203.68

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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.