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Finding the Fourth Proportional to 2,124.50, 2,931.84 and 1,296.50

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Solution

The fourth proportional to 2,124.50, 2,931.84 and 1,296.50 is: 1,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.50 : 2,931.84 = 1,296.50 : x
  2. Step 2: Convert to fraction form
    2,124.50/2,931.84 = 1,296.50/x
  3. Step 3: Cross multiply
    2,124.50x = 2,931.84 × 1,296.50
  4. Step 4: Simplify right side
    2,124.50x = 3,801,130.56
  5. Step 5: Solve for x
    x = 3,801,130.56/2,124.50
  6. Step 6: Final answer
    x = 1,789.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.