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Finding the Fourth Proportional to 2,530.54, 3,496.68 and 1,972.45

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Solution

The fourth proportional to 2,530.54, 3,496.68 and 1,972.45 is: 2,725.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.54 : 3,496.68 = 1,972.45 : x
  2. Step 2: Convert to fraction form
    2,530.54/3,496.68 = 1,972.45/x
  3. Step 3: Cross multiply
    2,530.54x = 3,496.68 × 1,972.45
  4. Step 4: Simplify right side
    2,530.54x = 6,897,026.47
  5. Step 5: Solve for x
    x = 6,897,026.47/2,530.54
  6. Step 6: Final answer
    x = 2,725.52

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