Home / 1,574.98-2,174.14-985.38

Finding the Fourth Proportional to 1,574.98, 2,174.14 and 985.38

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Solution

The fourth proportional to 1,574.98, 2,174.14 and 985.38 is: 1,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.98 : 2,174.14 = 985.38 : x
  2. Step 2: Convert to fraction form
    1,574.98/2,174.14 = 985.38/x
  3. Step 3: Cross multiply
    1,574.98x = 2,174.14 × 985.38
  4. Step 4: Simplify right side
    1,574.98x = 2,142,354.07
  5. Step 5: Solve for x
    x = 2,142,354.07/1,574.98
  6. Step 6: Final answer
    x = 1,360.24

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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.