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Finding the Fourth Proportional to 2,569.68, 3,546.16 and 1,390.75

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Solution

The fourth proportional to 2,569.68, 3,546.16 and 1,390.75 is: 1,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.68 : 3,546.16 = 1,390.75 : x
  2. Step 2: Convert to fraction form
    2,569.68/3,546.16 = 1,390.75/x
  3. Step 3: Cross multiply
    2,569.68x = 3,546.16 × 1,390.75
  4. Step 4: Simplify right side
    2,569.68x = 4,931,804.29
  5. Step 5: Solve for x
    x = 4,931,804.29/2,569.68
  6. Step 6: Final answer
    x = 1,919.23

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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.