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Finding the Fourth Proportional to 1,612.19, 2,416.72 and 833.07

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Solution

The fourth proportional to 1,612.19, 2,416.72 and 833.07 is: 1,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.19 : 2,416.72 = 833.07 : x
  2. Step 2: Convert to fraction form
    1,612.19/2,416.72 = 833.07/x
  3. Step 3: Cross multiply
    1,612.19x = 2,416.72 × 833.07
  4. Step 4: Simplify right side
    1,612.19x = 2,013,300.89
  5. Step 5: Solve for x
    x = 2,013,300.89/1,612.19
  6. Step 6: Final answer
    x = 1,248.80

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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.