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Finding the Fourth Proportional to 2,572.22, 3,860.40 and 1,340

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Solution

The fourth proportional to 2,572.22, 3,860.40 and 1,340 is: 2,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.22 : 3,860.40 = 1,340 : x
  2. Step 2: Convert to fraction form
    2,572.22/3,860.40 = 1,340/x
  3. Step 3: Cross multiply
    2,572.22x = 3,860.40 × 1,340
  4. Step 4: Simplify right side
    2,572.22x = 5,172,936
  5. Step 5: Solve for x
    x = 5,172,936/2,572.22
  6. Step 6: Final answer
    x = 2,011.08

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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.