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Finding the Fourth Proportional to 2,569.84, 3,852.19 and 1,088.89

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Solution

The fourth proportional to 2,569.84, 3,852.19 and 1,088.89 is: 1,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.84 : 3,852.19 = 1,088.89 : x
  2. Step 2: Convert to fraction form
    2,569.84/3,852.19 = 1,088.89/x
  3. Step 3: Cross multiply
    2,569.84x = 3,852.19 × 1,088.89
  4. Step 4: Simplify right side
    2,569.84x = 4,194,611.17
  5. Step 5: Solve for x
    x = 4,194,611.17/2,569.84
  6. Step 6: Final answer
    x = 1,632.25

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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.