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Finding the Fourth Proportional to 2,987, 4,482.14 and 1,448

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Solution

The fourth proportional to 2,987, 4,482.14 and 1,448 is: 2,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987 : 4,482.14 = 1,448 : x
  2. Step 2: Convert to fraction form
    2,987/4,482.14 = 1,448/x
  3. Step 3: Cross multiply
    2,987x = 4,482.14 × 1,448
  4. Step 4: Simplify right side
    2,987x = 6,490,138.72
  5. Step 5: Solve for x
    x = 6,490,138.72/2,987
  6. Step 6: Final answer
    x = 2,172.80

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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.