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Finding the Fourth Proportional to 1,582.65, 2,378.70 and 1,310.49

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Solution

The fourth proportional to 1,582.65, 2,378.70 and 1,310.49 is: 1,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.65 : 2,378.70 = 1,310.49 : x
  2. Step 2: Convert to fraction form
    1,582.65/2,378.70 = 1,310.49/x
  3. Step 3: Cross multiply
    1,582.65x = 2,378.70 × 1,310.49
  4. Step 4: Simplify right side
    1,582.65x = 3,117,262.56
  5. Step 5: Solve for x
    x = 3,117,262.56/1,582.65
  6. Step 6: Final answer
    x = 1,969.65

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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.