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Finding the Fourth Proportional to 2,362.76, 3,542.09 and 975.23

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Solution

The fourth proportional to 2,362.76, 3,542.09 and 975.23 is: 1,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.76 : 3,542.09 = 975.23 : x
  2. Step 2: Convert to fraction form
    2,362.76/3,542.09 = 975.23/x
  3. Step 3: Cross multiply
    2,362.76x = 3,542.09 × 975.23
  4. Step 4: Simplify right side
    2,362.76x = 3,454,347.55
  5. Step 5: Solve for x
    x = 3,454,347.55/2,362.76
  6. Step 6: Final answer
    x = 1,462.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.