Home / 1,598.16-2,382.90-1,569

Finding the Fourth Proportional to 1,598.16, 2,382.90 and 1,569

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Solution

The fourth proportional to 1,598.16, 2,382.90 and 1,569 is: 2,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.16 : 2,382.90 = 1,569 : x
  2. Step 2: Convert to fraction form
    1,598.16/2,382.90 = 1,569/x
  3. Step 3: Cross multiply
    1,598.16x = 2,382.90 × 1,569
  4. Step 4: Simplify right side
    1,598.16x = 3,738,770.10
  5. Step 5: Solve for x
    x = 3,738,770.10/1,598.16
  6. Step 6: Final answer
    x = 2,339.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.