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Finding the Fourth Proportional to 2,569.77, 3,855.60 and 1,254.06

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Solution

The fourth proportional to 2,569.77, 3,855.60 and 1,254.06 is: 1,881.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.77 : 3,855.60 = 1,254.06 : x
  2. Step 2: Convert to fraction form
    2,569.77/3,855.60 = 1,254.06/x
  3. Step 3: Cross multiply
    2,569.77x = 3,855.60 × 1,254.06
  4. Step 4: Simplify right side
    2,569.77x = 4,835,153.74
  5. Step 5: Solve for x
    x = 4,835,153.74/2,569.77
  6. Step 6: Final answer
    x = 1,881.55

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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.