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Finding the Fourth Proportional to 1,814.60, 2,500.96 and 1,498

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Solution

The fourth proportional to 1,814.60, 2,500.96 and 1,498 is: 2,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.60 : 2,500.96 = 1,498 : x
  2. Step 2: Convert to fraction form
    1,814.60/2,500.96 = 1,498/x
  3. Step 3: Cross multiply
    1,814.60x = 2,500.96 × 1,498
  4. Step 4: Simplify right side
    1,814.60x = 3,746,438.08
  5. Step 5: Solve for x
    x = 3,746,438.08/1,814.60
  6. Step 6: Final answer
    x = 2,064.61

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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.