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Finding the Fourth Proportional to 2,718.02, 4,077.05 and 770.24

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Solution

The fourth proportional to 2,718.02, 4,077.05 and 770.24 is: 1,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.02 : 4,077.05 = 770.24 : x
  2. Step 2: Convert to fraction form
    2,718.02/4,077.05 = 770.24/x
  3. Step 3: Cross multiply
    2,718.02x = 4,077.05 × 770.24
  4. Step 4: Simplify right side
    2,718.02x = 3,140,282.76
  5. Step 5: Solve for x
    x = 3,140,282.76/2,718.02
  6. Step 6: Final answer
    x = 1,155.36

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1.5x scale

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.