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Finding the Fourth Proportional to 2,686.57, 4,030.97 and 1,646.63

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Solution

The fourth proportional to 2,686.57, 4,030.97 and 1,646.63 is: 2,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.57 : 4,030.97 = 1,646.63 : x
  2. Step 2: Convert to fraction form
    2,686.57/4,030.97 = 1,646.63/x
  3. Step 3: Cross multiply
    2,686.57x = 4,030.97 × 1,646.63
  4. Step 4: Simplify right side
    2,686.57x = 6,637,502.86
  5. Step 5: Solve for x
    x = 6,637,502.86/2,686.57
  6. Step 6: Final answer
    x = 2,470.63

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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.