Home / 1,561.10-2,339.50-829.20

Finding the Fourth Proportional to 1,561.10, 2,339.50 and 829.20

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Solution

The fourth proportional to 1,561.10, 2,339.50 and 829.20 is: 1,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.10 : 2,339.50 = 829.20 : x
  2. Step 2: Convert to fraction form
    1,561.10/2,339.50 = 829.20/x
  3. Step 3: Cross multiply
    1,561.10x = 2,339.50 × 829.20
  4. Step 4: Simplify right side
    1,561.10x = 1,939,913.40
  5. Step 5: Solve for x
    x = 1,939,913.40/1,561.10
  6. Step 6: Final answer
    x = 1,242.66

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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.