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Finding the Fourth Proportional to 2,124.86, 2,932.32 and 1,228.58

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Solution

The fourth proportional to 2,124.86, 2,932.32 and 1,228.58 is: 1,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.86 : 2,932.32 = 1,228.58 : x
  2. Step 2: Convert to fraction form
    2,124.86/2,932.32 = 1,228.58/x
  3. Step 3: Cross multiply
    2,124.86x = 2,932.32 × 1,228.58
  4. Step 4: Simplify right side
    2,124.86x = 3,602,589.71
  5. Step 5: Solve for x
    x = 3,602,589.71/2,124.86
  6. Step 6: Final answer
    x = 1,695.45

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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.