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Finding the Fourth Proportional to 2,492.60, 3,740.46 and 1,031.48

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Solution

The fourth proportional to 2,492.60, 3,740.46 and 1,031.48 is: 1,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.60 : 3,740.46 = 1,031.48 : x
  2. Step 2: Convert to fraction form
    2,492.60/3,740.46 = 1,031.48/x
  3. Step 3: Cross multiply
    2,492.60x = 3,740.46 × 1,031.48
  4. Step 4: Simplify right side
    2,492.60x = 3,858,209.68
  5. Step 5: Solve for x
    x = 3,858,209.68/2,492.60
  6. Step 6: Final answer
    x = 1,547.87

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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.