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Finding the Fourth Proportional to 1,869.83, 2,580.25 and 1,030.53

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Solution

The fourth proportional to 1,869.83, 2,580.25 and 1,030.53 is: 1,422.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.83 : 2,580.25 = 1,030.53 : x
  2. Step 2: Convert to fraction form
    1,869.83/2,580.25 = 1,030.53/x
  3. Step 3: Cross multiply
    1,869.83x = 2,580.25 × 1,030.53
  4. Step 4: Simplify right side
    1,869.83x = 2,659,020.75
  5. Step 5: Solve for x
    x = 2,659,020.75/1,869.83
  6. Step 6: Final answer
    x = 1,422.07

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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.