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Finding the Fourth Proportional to 3,412.95, 4,710.07 and 1,920.97

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Solution

The fourth proportional to 3,412.95, 4,710.07 and 1,920.97 is: 2,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.95 : 4,710.07 = 1,920.97 : x
  2. Step 2: Convert to fraction form
    3,412.95/4,710.07 = 1,920.97/x
  3. Step 3: Cross multiply
    3,412.95x = 4,710.07 × 1,920.97
  4. Step 4: Simplify right side
    3,412.95x = 9,047,903.17
  5. Step 5: Solve for x
    x = 9,047,903.17/3,412.95
  6. Step 6: Final answer
    x = 2,651.05

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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.