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Finding the Fourth Proportional to 2,437.46, 3,655.58 and 956.98

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Solution

The fourth proportional to 2,437.46, 3,655.58 and 956.98 is: 1,435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.46 : 3,655.58 = 956.98 : x
  2. Step 2: Convert to fraction form
    2,437.46/3,655.58 = 956.98/x
  3. Step 3: Cross multiply
    2,437.46x = 3,655.58 × 956.98
  4. Step 4: Simplify right side
    2,437.46x = 3,498,322.12
  5. Step 5: Solve for x
    x = 3,498,322.12/2,437.46
  6. Step 6: Final answer
    x = 1,435.23

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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.