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Finding the Fourth Proportional to 2,437.92, 3,657.15 and 977.22

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Solution

The fourth proportional to 2,437.92, 3,657.15 and 977.22 is: 1,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.92 : 3,657.15 = 977.22 : x
  2. Step 2: Convert to fraction form
    2,437.92/3,657.15 = 977.22/x
  3. Step 3: Cross multiply
    2,437.92x = 3,657.15 × 977.22
  4. Step 4: Simplify right side
    2,437.92x = 3,573,840.12
  5. Step 5: Solve for x
    x = 3,573,840.12/2,437.92
  6. Step 6: Final answer
    x = 1,465.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.