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Finding the Fourth Proportional to 2,264.99, 3,125.84 and 1,320.86

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Solution

The fourth proportional to 2,264.99, 3,125.84 and 1,320.86 is: 1,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.99 : 3,125.84 = 1,320.86 : x
  2. Step 2: Convert to fraction form
    2,264.99/3,125.84 = 1,320.86/x
  3. Step 3: Cross multiply
    2,264.99x = 3,125.84 × 1,320.86
  4. Step 4: Simplify right side
    2,264.99x = 4,128,774.79
  5. Step 5: Solve for x
    x = 4,128,774.79/2,264.99
  6. Step 6: Final answer
    x = 1,822.87

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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.