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Finding the Fourth Proportional to 2,088.96, 3,129.92 and 1,264.70

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Solution

The fourth proportional to 2,088.96, 3,129.92 and 1,264.70 is: 1,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.96 : 3,129.92 = 1,264.70 : x
  2. Step 2: Convert to fraction form
    2,088.96/3,129.92 = 1,264.70/x
  3. Step 3: Cross multiply
    2,088.96x = 3,129.92 × 1,264.70
  4. Step 4: Simplify right side
    2,088.96x = 3,958,409.82
  5. Step 5: Solve for x
    x = 3,958,409.82/2,088.96
  6. Step 6: Final answer
    x = 1,894.92

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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.