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Finding the Fourth Proportional to 2,318.94, 3,477.48 and 931.90

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Solution

The fourth proportional to 2,318.94, 3,477.48 and 931.90 is: 1,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.94 : 3,477.48 = 931.90 : x
  2. Step 2: Convert to fraction form
    2,318.94/3,477.48 = 931.90/x
  3. Step 3: Cross multiply
    2,318.94x = 3,477.48 × 931.90
  4. Step 4: Simplify right side
    2,318.94x = 3,240,663.61
  5. Step 5: Solve for x
    x = 3,240,663.61/2,318.94
  6. Step 6: Final answer
    x = 1,397.48

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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.