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Finding the Fourth Proportional to 2,124.32, 2,932.05 and 1,416.17

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Solution

The fourth proportional to 2,124.32, 2,932.05 and 1,416.17 is: 1,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.32 : 2,932.05 = 1,416.17 : x
  2. Step 2: Convert to fraction form
    2,124.32/2,932.05 = 1,416.17/x
  3. Step 3: Cross multiply
    2,124.32x = 2,932.05 × 1,416.17
  4. Step 4: Simplify right side
    2,124.32x = 4,152,266.59
  5. Step 5: Solve for x
    x = 4,152,266.59/2,124.32
  6. Step 6: Final answer
    x = 1,954.64

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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.