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Finding the Fourth Proportional to 1,750.95, 2,626.77 and 972.06

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Solution

The fourth proportional to 1,750.95, 2,626.77 and 972.06 is: 1,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.95 : 2,626.77 = 972.06 : x
  2. Step 2: Convert to fraction form
    1,750.95/2,626.77 = 972.06/x
  3. Step 3: Cross multiply
    1,750.95x = 2,626.77 × 972.06
  4. Step 4: Simplify right side
    1,750.95x = 2,553,378.05
  5. Step 5: Solve for x
    x = 2,553,378.05/1,750.95
  6. Step 6: Final answer
    x = 1,458.28

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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.