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Finding the Fourth Proportional to 2,363.01, 3,543.86 and 975.93

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Solution

The fourth proportional to 2,363.01, 3,543.86 and 975.93 is: 1,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.01 : 3,543.86 = 975.93 : x
  2. Step 2: Convert to fraction form
    2,363.01/3,543.86 = 975.93/x
  3. Step 3: Cross multiply
    2,363.01x = 3,543.86 × 975.93
  4. Step 4: Simplify right side
    2,363.01x = 3,458,554.41
  5. Step 5: Solve for x
    x = 3,458,554.41/2,363.01
  6. Step 6: Final answer
    x = 1,463.62

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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.