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Finding the Fourth Proportional to 2,492.96, 3,732.14 and 1,750.02

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Solution

The fourth proportional to 2,492.96, 3,732.14 and 1,750.02 is: 2,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.96 : 3,732.14 = 1,750.02 : x
  2. Step 2: Convert to fraction form
    2,492.96/3,732.14 = 1,750.02/x
  3. Step 3: Cross multiply
    2,492.96x = 3,732.14 × 1,750.02
  4. Step 4: Simplify right side
    2,492.96x = 6,531,319.64
  5. Step 5: Solve for x
    x = 6,531,319.64/2,492.96
  6. Step 6: Final answer
    x = 2,619.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.