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Finding the Fourth Proportional to 2,616.64, 3,610.80 and 1,497.58

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Solution

The fourth proportional to 2,616.64, 3,610.80 and 1,497.58 is: 2,066.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.64 : 3,610.80 = 1,497.58 : x
  2. Step 2: Convert to fraction form
    2,616.64/3,610.80 = 1,497.58/x
  3. Step 3: Cross multiply
    2,616.64x = 3,610.80 × 1,497.58
  4. Step 4: Simplify right side
    2,616.64x = 5,407,461.86
  5. Step 5: Solve for x
    x = 5,407,461.86/2,616.64
  6. Step 6: Final answer
    x = 2,066.57

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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.