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Finding the Fourth Proportional to 2,315.40, 3,470.02 and 853.20

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Solution

The fourth proportional to 2,315.40, 3,470.02 and 853.20 is: 1,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.40 : 3,470.02 = 853.20 : x
  2. Step 2: Convert to fraction form
    2,315.40/3,470.02 = 853.20/x
  3. Step 3: Cross multiply
    2,315.40x = 3,470.02 × 853.20
  4. Step 4: Simplify right side
    2,315.40x = 2,960,621.06
  5. Step 5: Solve for x
    x = 2,960,621.06/2,315.40
  6. Step 6: Final answer
    x = 1,278.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.