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Finding the Fourth Proportional to 2,124.85, 3,182.57 and 1,300.65

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Solution

The fourth proportional to 2,124.85, 3,182.57 and 1,300.65 is: 1,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.85 : 3,182.57 = 1,300.65 : x
  2. Step 2: Convert to fraction form
    2,124.85/3,182.57 = 1,300.65/x
  3. Step 3: Cross multiply
    2,124.85x = 3,182.57 × 1,300.65
  4. Step 4: Simplify right side
    2,124.85x = 4,139,409.67
  5. Step 5: Solve for x
    x = 4,139,409.67/2,124.85
  6. Step 6: Final answer
    x = 1,948.10

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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.