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Finding the Fourth Proportional to 2,260.40, 3,390.47 and 1,341.80

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Solution

The fourth proportional to 2,260.40, 3,390.47 and 1,341.80 is: 2,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.40 : 3,390.47 = 1,341.80 : x
  2. Step 2: Convert to fraction form
    2,260.40/3,390.47 = 1,341.80/x
  3. Step 3: Cross multiply
    2,260.40x = 3,390.47 × 1,341.80
  4. Step 4: Simplify right side
    2,260.40x = 4,549,332.65
  5. Step 5: Solve for x
    x = 4,549,332.65/2,260.40
  6. Step 6: Final answer
    x = 2,012.62

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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.