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Finding the Fourth Proportional to 2,498.52, 3,741.95 and 1,975.01

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Solution

The fourth proportional to 2,498.52, 3,741.95 and 1,975.01 is: 2,957.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.52 : 3,741.95 = 1,975.01 : x
  2. Step 2: Convert to fraction form
    2,498.52/3,741.95 = 1,975.01/x
  3. Step 3: Cross multiply
    2,498.52x = 3,741.95 × 1,975.01
  4. Step 4: Simplify right side
    2,498.52x = 7,390,363.79
  5. Step 5: Solve for x
    x = 7,390,363.79/2,498.52
  6. Step 6: Final answer
    x = 2,957.90

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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.