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Finding the Fourth Proportional to 2,984.80, 4,118.40 and 1,742.80

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Solution

The fourth proportional to 2,984.80, 4,118.40 and 1,742.80 is: 2,404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.80 : 4,118.40 = 1,742.80 : x
  2. Step 2: Convert to fraction form
    2,984.80/4,118.40 = 1,742.80/x
  3. Step 3: Cross multiply
    2,984.80x = 4,118.40 × 1,742.80
  4. Step 4: Simplify right side
    2,984.80x = 7,177,547.52
  5. Step 5: Solve for x
    x = 7,177,547.52/2,984.80
  6. Step 6: Final answer
    x = 2,404.70

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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.