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Finding the Fourth Proportional to 1,656.57, 2,494.77 and 1,508.95

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Solution

The fourth proportional to 1,656.57, 2,494.77 and 1,508.95 is: 2,272.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.57 : 2,494.77 = 1,508.95 : x
  2. Step 2: Convert to fraction form
    1,656.57/2,494.77 = 1,508.95/x
  3. Step 3: Cross multiply
    1,656.57x = 2,494.77 × 1,508.95
  4. Step 4: Simplify right side
    1,656.57x = 3,764,483.19
  5. Step 5: Solve for x
    x = 3,764,483.19/1,656.57
  6. Step 6: Final answer
    x = 2,272.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.