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Finding the Fourth Proportional to 1,386.92, 2,079.88 and 976.25

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Solution

The fourth proportional to 1,386.92, 2,079.88 and 976.25 is: 1,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.92 : 2,079.88 = 976.25 : x
  2. Step 2: Convert to fraction form
    1,386.92/2,079.88 = 976.25/x
  3. Step 3: Cross multiply
    1,386.92x = 2,079.88 × 976.25
  4. Step 4: Simplify right side
    1,386.92x = 2,030,485.61
  5. Step 5: Solve for x
    x = 2,030,485.61/1,386.92
  6. Step 6: Final answer
    x = 1,464.02

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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.