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Finding the Fourth Proportional to 2,710.89, 3,740.81 and 1,532.25

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Solution

The fourth proportional to 2,710.89, 3,740.81 and 1,532.25 is: 2,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.89 : 3,740.81 = 1,532.25 : x
  2. Step 2: Convert to fraction form
    2,710.89/3,740.81 = 1,532.25/x
  3. Step 3: Cross multiply
    2,710.89x = 3,740.81 × 1,532.25
  4. Step 4: Simplify right side
    2,710.89x = 5,731,848.46
  5. Step 5: Solve for x
    x = 5,731,848.46/2,710.89
  6. Step 6: Final answer
    x = 2,114.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.