Home / 1,558.17-2,340.64-942.16

Finding the Fourth Proportional to 1,558.17, 2,340.64 and 942.16

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Solution

The fourth proportional to 1,558.17, 2,340.64 and 942.16 is: 1,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.17 : 2,340.64 = 942.16 : x
  2. Step 2: Convert to fraction form
    1,558.17/2,340.64 = 942.16/x
  3. Step 3: Cross multiply
    1,558.17x = 2,340.64 × 942.16
  4. Step 4: Simplify right side
    1,558.17x = 2,205,257.38
  5. Step 5: Solve for x
    x = 2,205,257.38/1,558.17
  6. Step 6: Final answer
    x = 1,415.29

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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.