Home / 2,364.19-3,543.20-975.94

Finding the Fourth Proportional to 2,364.19, 3,543.20 and 975.94

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Solution

The fourth proportional to 2,364.19, 3,543.20 and 975.94 is: 1,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.19 : 3,543.20 = 975.94 : x
  2. Step 2: Convert to fraction form
    2,364.19/3,543.20 = 975.94/x
  3. Step 3: Cross multiply
    2,364.19x = 3,543.20 × 975.94
  4. Step 4: Simplify right side
    2,364.19x = 3,457,928.01
  5. Step 5: Solve for x
    x = 3,457,928.01/2,364.19
  6. Step 6: Final answer
    x = 1,462.63

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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.