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Finding the Fourth Proportional to 1,364.10, 2,041.86 and 972.87

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Solution

The fourth proportional to 1,364.10, 2,041.86 and 972.87 is: 1,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.10 : 2,041.86 = 972.87 : x
  2. Step 2: Convert to fraction form
    1,364.10/2,041.86 = 972.87/x
  3. Step 3: Cross multiply
    1,364.10x = 2,041.86 × 972.87
  4. Step 4: Simplify right side
    1,364.10x = 1,986,464.34
  5. Step 5: Solve for x
    x = 1,986,464.34/1,364.10
  6. Step 6: Final answer
    x = 1,456.25

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Why These Related Problems?

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