Home / 1,770.16-2,442.58-984.06

Finding the Fourth Proportional to 1,770.16, 2,442.58 and 984.06

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Solution

The fourth proportional to 1,770.16, 2,442.58 and 984.06 is: 1,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.16 : 2,442.58 = 984.06 : x
  2. Step 2: Convert to fraction form
    1,770.16/2,442.58 = 984.06/x
  3. Step 3: Cross multiply
    1,770.16x = 2,442.58 × 984.06
  4. Step 4: Simplify right side
    1,770.16x = 2,403,645.27
  5. Step 5: Solve for x
    x = 2,403,645.27/1,770.16
  6. Step 6: Final answer
    x = 1,357.87

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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.