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Finding the Fourth Proportional to 2,506.74, 3,740.34 and 2,312.88

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Solution

The fourth proportional to 2,506.74, 3,740.34 and 2,312.88 is: 3,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.74 : 3,740.34 = 2,312.88 : x
  2. Step 2: Convert to fraction form
    2,506.74/3,740.34 = 2,312.88/x
  3. Step 3: Cross multiply
    2,506.74x = 3,740.34 × 2,312.88
  4. Step 4: Simplify right side
    2,506.74x = 8,650,957.58
  5. Step 5: Solve for x
    x = 8,650,957.58/2,506.74
  6. Step 6: Final answer
    x = 3,451.08

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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.