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Finding the Fourth Proportional to 2,700.14, 4,047.77 and 1,397.66

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Solution

The fourth proportional to 2,700.14, 4,047.77 and 1,397.66 is: 2,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.14 : 4,047.77 = 1,397.66 : x
  2. Step 2: Convert to fraction form
    2,700.14/4,047.77 = 1,397.66/x
  3. Step 3: Cross multiply
    2,700.14x = 4,047.77 × 1,397.66
  4. Step 4: Simplify right side
    2,700.14x = 5,657,389.47
  5. Step 5: Solve for x
    x = 5,657,389.47/2,700.14
  6. Step 6: Final answer
    x = 2,095.22

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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.