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Finding the Fourth Proportional to 1,415.83, 1,952.86 and 974.79

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Solution

The fourth proportional to 1,415.83, 1,952.86 and 974.79 is: 1,344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.83 : 1,952.86 = 974.79 : x
  2. Step 2: Convert to fraction form
    1,415.83/1,952.86 = 974.79/x
  3. Step 3: Cross multiply
    1,415.83x = 1,952.86 × 974.79
  4. Step 4: Simplify right side
    1,415.83x = 1,903,628.40
  5. Step 5: Solve for x
    x = 1,903,628.40/1,415.83
  6. Step 6: Final answer
    x = 1,344.53

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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.