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Finding the Fourth Proportional to 3,462.56, 4,778.88 and 1,970.56

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Solution

The fourth proportional to 3,462.56, 4,778.88 and 1,970.56 is: 2,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.56 : 4,778.88 = 1,970.56 : x
  2. Step 2: Convert to fraction form
    3,462.56/4,778.88 = 1,970.56/x
  3. Step 3: Cross multiply
    3,462.56x = 4,778.88 × 1,970.56
  4. Step 4: Simplify right side
    3,462.56x = 9,417,069.77
  5. Step 5: Solve for x
    x = 9,417,069.77/3,462.56
  6. Step 6: Final answer
    x = 2,719.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.