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Finding the Fourth Proportional to 1,416.83, 2,124.72 and 896.72

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Solution

The fourth proportional to 1,416.83, 2,124.72 and 896.72 is: 1,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.83 : 2,124.72 = 896.72 : x
  2. Step 2: Convert to fraction form
    1,416.83/2,124.72 = 896.72/x
  3. Step 3: Cross multiply
    1,416.83x = 2,124.72 × 896.72
  4. Step 4: Simplify right side
    1,416.83x = 1,905,268.29
  5. Step 5: Solve for x
    x = 1,905,268.29/1,416.83
  6. Step 6: Final answer
    x = 1,344.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.