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Finding the Fourth Proportional to 1,814.60, 2,498.64 and 1,565.48

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Solution

The fourth proportional to 1,814.60, 2,498.64 and 1,565.48 is: 2,155.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.60 : 2,498.64 = 1,565.48 : x
  2. Step 2: Convert to fraction form
    1,814.60/2,498.64 = 1,565.48/x
  3. Step 3: Cross multiply
    1,814.60x = 2,498.64 × 1,565.48
  4. Step 4: Simplify right side
    1,814.60x = 3,911,570.95
  5. Step 5: Solve for x
    x = 3,911,570.95/1,814.60
  6. Step 6: Final answer
    x = 2,155.61

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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.