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Finding the Fourth Proportional to 1,362.04, 1,877.70 and 968.92

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Solution

The fourth proportional to 1,362.04, 1,877.70 and 968.92 is: 1,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.04 : 1,877.70 = 968.92 : x
  2. Step 2: Convert to fraction form
    1,362.04/1,877.70 = 968.92/x
  3. Step 3: Cross multiply
    1,362.04x = 1,877.70 × 968.92
  4. Step 4: Simplify right side
    1,362.04x = 1,819,341.08
  5. Step 5: Solve for x
    x = 1,819,341.08/1,362.04
  6. Step 6: Final answer
    x = 1,335.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.