Home / 1,504.40-2,074.16-972.38

Finding the Fourth Proportional to 1,504.40, 2,074.16 and 972.38

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Solution

The fourth proportional to 1,504.40, 2,074.16 and 972.38 is: 1,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.40 : 2,074.16 = 972.38 : x
  2. Step 2: Convert to fraction form
    1,504.40/2,074.16 = 972.38/x
  3. Step 3: Cross multiply
    1,504.40x = 2,074.16 × 972.38
  4. Step 4: Simplify right side
    1,504.40x = 2,016,879.32
  5. Step 5: Solve for x
    x = 2,016,879.32/1,504.40
  6. Step 6: Final answer
    x = 1,340.66

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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.