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Finding the Fourth Proportional to 2,437.78, 3,655.93 and 2,047.90

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Solution

The fourth proportional to 2,437.78, 3,655.93 and 2,047.90 is: 3,071.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.78 : 3,655.93 = 2,047.90 : x
  2. Step 2: Convert to fraction form
    2,437.78/3,655.93 = 2,047.90/x
  3. Step 3: Cross multiply
    2,437.78x = 3,655.93 × 2,047.90
  4. Step 4: Simplify right side
    2,437.78x = 7,486,979.05
  5. Step 5: Solve for x
    x = 7,486,979.05/2,437.78
  6. Step 6: Final answer
    x = 3,071.23

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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.