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Finding the Fourth Proportional to 2,488.68, 3,714.93 and 2,283.24

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Solution

The fourth proportional to 2,488.68, 3,714.93 and 2,283.24 is: 3,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.68 : 3,714.93 = 2,283.24 : x
  2. Step 2: Convert to fraction form
    2,488.68/3,714.93 = 2,283.24/x
  3. Step 3: Cross multiply
    2,488.68x = 3,714.93 × 2,283.24
  4. Step 4: Simplify right side
    2,488.68x = 8,482,076.77
  5. Step 5: Solve for x
    x = 8,482,076.77/2,488.68
  6. Step 6: Final answer
    x = 3,408.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.