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Finding the Fourth Proportional to 2,677.60, 3,695.12 and 1,498.64

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Solution

The fourth proportional to 2,677.60, 3,695.12 and 1,498.64 is: 2,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.60 : 3,695.12 = 1,498.64 : x
  2. Step 2: Convert to fraction form
    2,677.60/3,695.12 = 1,498.64/x
  3. Step 3: Cross multiply
    2,677.60x = 3,695.12 × 1,498.64
  4. Step 4: Simplify right side
    2,677.60x = 5,537,654.64
  5. Step 5: Solve for x
    x = 5,537,654.64/2,677.60
  6. Step 6: Final answer
    x = 2,068.14

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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.