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Finding the Fourth Proportional to 2,666.13, 3,677.28 and 1,957.76

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Solution

The fourth proportional to 2,666.13, 3,677.28 and 1,957.76 is: 2,700.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.13 : 3,677.28 = 1,957.76 : x
  2. Step 2: Convert to fraction form
    2,666.13/3,677.28 = 1,957.76/x
  3. Step 3: Cross multiply
    2,666.13x = 3,677.28 × 1,957.76
  4. Step 4: Simplify right side
    2,666.13x = 7,199,213.31
  5. Step 5: Solve for x
    x = 7,199,213.31/2,666.13
  6. Step 6: Final answer
    x = 2,700.25

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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.