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Finding the Fourth Proportional to 2,102.04, 3,151.08 and 931.32

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Solution

The fourth proportional to 2,102.04, 3,151.08 and 931.32 is: 1,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.04 : 3,151.08 = 931.32 : x
  2. Step 2: Convert to fraction form
    2,102.04/3,151.08 = 931.32/x
  3. Step 3: Cross multiply
    2,102.04x = 3,151.08 × 931.32
  4. Step 4: Simplify right side
    2,102.04x = 2,934,663.83
  5. Step 5: Solve for x
    x = 2,934,663.83/2,102.04
  6. Step 6: Final answer
    x = 1,396.10

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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.