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Finding the Fourth Proportional to 2,263.76, 3,124.68 and 1,320.08

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Solution

The fourth proportional to 2,263.76, 3,124.68 and 1,320.08 is: 1,822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.76 : 3,124.68 = 1,320.08 : x
  2. Step 2: Convert to fraction form
    2,263.76/3,124.68 = 1,320.08/x
  3. Step 3: Cross multiply
    2,263.76x = 3,124.68 × 1,320.08
  4. Step 4: Simplify right side
    2,263.76x = 4,124,827.57
  5. Step 5: Solve for x
    x = 4,124,827.57/2,263.76
  6. Step 6: Final answer
    x = 1,822.11

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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.