Home / 1,560.22-2,339.64-829.63

Finding the Fourth Proportional to 1,560.22, 2,339.64 and 829.63

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Solution

The fourth proportional to 1,560.22, 2,339.64 and 829.63 is: 1,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.22 : 2,339.64 = 829.63 : x
  2. Step 2: Convert to fraction form
    1,560.22/2,339.64 = 829.63/x
  3. Step 3: Cross multiply
    1,560.22x = 2,339.64 × 829.63
  4. Step 4: Simplify right side
    1,560.22x = 1,941,035.53
  5. Step 5: Solve for x
    x = 1,941,035.53/1,560.22
  6. Step 6: Final answer
    x = 1,244.08

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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.