Home / 1,567.23-2,352.38-746.07

Finding the Fourth Proportional to 1,567.23, 2,352.38 and 746.07

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Solution

The fourth proportional to 1,567.23, 2,352.38 and 746.07 is: 1,119.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.23 : 2,352.38 = 746.07 : x
  2. Step 2: Convert to fraction form
    1,567.23/2,352.38 = 746.07/x
  3. Step 3: Cross multiply
    1,567.23x = 2,352.38 × 746.07
  4. Step 4: Simplify right side
    1,567.23x = 1,755,036.42
  5. Step 5: Solve for x
    x = 1,755,036.42/1,567.23
  6. Step 6: Final answer
    x = 1,119.83

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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.