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Finding the Fourth Proportional to 1,591.06, 2,389.95 and 975.10

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Solution

The fourth proportional to 1,591.06, 2,389.95 and 975.10 is: 1,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.06 : 2,389.95 = 975.10 : x
  2. Step 2: Convert to fraction form
    1,591.06/2,389.95 = 975.10/x
  3. Step 3: Cross multiply
    1,591.06x = 2,389.95 × 975.10
  4. Step 4: Simplify right side
    1,591.06x = 2,330,440.25
  5. Step 5: Solve for x
    x = 2,330,440.25/1,591.06
  6. Step 6: Final answer
    x = 1,464.71

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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.