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Finding the Fourth Proportional to 1,869.65, 2,580.11 and 1,030.33

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Solution

The fourth proportional to 1,869.65, 2,580.11 and 1,030.33 is: 1,421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.65 : 2,580.11 = 1,030.33 : x
  2. Step 2: Convert to fraction form
    1,869.65/2,580.11 = 1,030.33/x
  3. Step 3: Cross multiply
    1,869.65x = 2,580.11 × 1,030.33
  4. Step 4: Simplify right side
    1,869.65x = 2,658,364.74
  5. Step 5: Solve for x
    x = 2,658,364.74/1,869.65
  6. Step 6: Final answer
    x = 1,421.85

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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.