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Finding the Fourth Proportional to 1,451.16, 2,175.51 and 987.63

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Solution

The fourth proportional to 1,451.16, 2,175.51 and 987.63 is: 1,480.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.16 : 2,175.51 = 987.63 : x
  2. Step 2: Convert to fraction form
    1,451.16/2,175.51 = 987.63/x
  3. Step 3: Cross multiply
    1,451.16x = 2,175.51 × 987.63
  4. Step 4: Simplify right side
    1,451.16x = 2,148,598.94
  5. Step 5: Solve for x
    x = 2,148,598.94/1,451.16
  6. Step 6: Final answer
    x = 1,480.61

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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.