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Finding the Fourth Proportional to 1,869.77, 2,580.71 and 1,083.93

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Solution

The fourth proportional to 1,869.77, 2,580.71 and 1,083.93 is: 1,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.77 : 2,580.71 = 1,083.93 : x
  2. Step 2: Convert to fraction form
    1,869.77/2,580.71 = 1,083.93/x
  3. Step 3: Cross multiply
    1,869.77x = 2,580.71 × 1,083.93
  4. Step 4: Simplify right side
    1,869.77x = 2,797,303.57
  5. Step 5: Solve for x
    x = 2,797,303.57/1,869.77
  6. Step 6: Final answer
    x = 1,496.07

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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.