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Finding the Fourth Proportional to 2,130.76, 2,943.28 and 1,639.52

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Solution

The fourth proportional to 2,130.76, 2,943.28 and 1,639.52 is: 2,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.76 : 2,943.28 = 1,639.52 : x
  2. Step 2: Convert to fraction form
    2,130.76/2,943.28 = 1,639.52/x
  3. Step 3: Cross multiply
    2,130.76x = 2,943.28 × 1,639.52
  4. Step 4: Simplify right side
    2,130.76x = 4,825,566.43
  5. Step 5: Solve for x
    x = 4,825,566.43/2,130.76
  6. Step 6: Final answer
    x = 2,264.72

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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.