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Finding the Fourth Proportional to 1,951.36, 2,925.66 and 977.20

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Solution

The fourth proportional to 1,951.36, 2,925.66 and 977.20 is: 1,465.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.36 : 2,925.66 = 977.20 : x
  2. Step 2: Convert to fraction form
    1,951.36/2,925.66 = 977.20/x
  3. Step 3: Cross multiply
    1,951.36x = 2,925.66 × 977.20
  4. Step 4: Simplify right side
    1,951.36x = 2,858,954.95
  5. Step 5: Solve for x
    x = 2,858,954.95/1,951.36
  6. Step 6: Final answer
    x = 1,465.11

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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.