Home / 1,342.08-2,013.98-975.96

Finding the Fourth Proportional to 1,342.08, 2,013.98 and 975.96

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Solution

The fourth proportional to 1,342.08, 2,013.98 and 975.96 is: 1,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.08 : 2,013.98 = 975.96 : x
  2. Step 2: Convert to fraction form
    1,342.08/2,013.98 = 975.96/x
  3. Step 3: Cross multiply
    1,342.08x = 2,013.98 × 975.96
  4. Step 4: Simplify right side
    1,342.08x = 1,965,559.04
  5. Step 5: Solve for x
    x = 1,965,559.04/1,342.08
  6. Step 6: Final answer
    x = 1,464.56

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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.