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Finding the Fourth Proportional to 2,264.96, 3,124.80 and 1,435.52

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Solution

The fourth proportional to 2,264.96, 3,124.80 and 1,435.52 is: 1,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.96 : 3,124.80 = 1,435.52 : x
  2. Step 2: Convert to fraction form
    2,264.96/3,124.80 = 1,435.52/x
  3. Step 3: Cross multiply
    2,264.96x = 3,124.80 × 1,435.52
  4. Step 4: Simplify right side
    2,264.96x = 4,485,712.90
  5. Step 5: Solve for x
    x = 4,485,712.90/2,264.96
  6. Step 6: Final answer
    x = 1,980.48

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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.