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Finding the Fourth Proportional to 2,393.32, 3,588.71 and 931

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Solution

The fourth proportional to 2,393.32, 3,588.71 and 931 is: 1,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.32 : 3,588.71 = 931 : x
  2. Step 2: Convert to fraction form
    2,393.32/3,588.71 = 931/x
  3. Step 3: Cross multiply
    2,393.32x = 3,588.71 × 931
  4. Step 4: Simplify right side
    2,393.32x = 3,341,089.01
  5. Step 5: Solve for x
    x = 3,341,089.01/2,393.32
  6. Step 6: Final answer
    x = 1,396.01

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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.