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Finding the Fourth Proportional to 1,957.30, 2,931.63 and 1,910.86

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Solution

The fourth proportional to 1,957.30, 2,931.63 and 1,910.86 is: 2,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.30 : 2,931.63 = 1,910.86 : x
  2. Step 2: Convert to fraction form
    1,957.30/2,931.63 = 1,910.86/x
  3. Step 3: Cross multiply
    1,957.30x = 2,931.63 × 1,910.86
  4. Step 4: Simplify right side
    1,957.30x = 5,601,934.50
  5. Step 5: Solve for x
    x = 5,601,934.50/1,957.30
  6. Step 6: Final answer
    x = 2,862.07

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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.