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Finding the Fourth Proportional to 1,580.35, 2,367.11 and 1,030.87

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Solution

The fourth proportional to 1,580.35, 2,367.11 and 1,030.87 is: 1,544.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.35 : 2,367.11 = 1,030.87 : x
  2. Step 2: Convert to fraction form
    1,580.35/2,367.11 = 1,030.87/x
  3. Step 3: Cross multiply
    1,580.35x = 2,367.11 × 1,030.87
  4. Step 4: Simplify right side
    1,580.35x = 2,440,165.70
  5. Step 5: Solve for x
    x = 2,440,165.70/1,580.35
  6. Step 6: Final answer
    x = 1,544.07

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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.