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Finding the Fourth Proportional to 2,363, 3,543.16 and 975.92

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Solution

The fourth proportional to 2,363, 3,543.16 and 975.92 is: 1,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363 : 3,543.16 = 975.92 : x
  2. Step 2: Convert to fraction form
    2,363/3,543.16 = 975.92/x
  3. Step 3: Cross multiply
    2,363x = 3,543.16 × 975.92
  4. Step 4: Simplify right side
    2,363x = 3,457,840.71
  5. Step 5: Solve for x
    x = 3,457,840.71/2,363
  6. Step 6: Final answer
    x = 1,463.33

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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.