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Finding the Fourth Proportional to 3,166.61, 4,750.58 and 975.23

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Solution

The fourth proportional to 3,166.61, 4,750.58 and 975.23 is: 1,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.61 : 4,750.58 = 975.23 : x
  2. Step 2: Convert to fraction form
    3,166.61/4,750.58 = 975.23/x
  3. Step 3: Cross multiply
    3,166.61x = 4,750.58 × 975.23
  4. Step 4: Simplify right side
    3,166.61x = 4,632,903.26
  5. Step 5: Solve for x
    x = 4,632,903.26/3,166.61
  6. Step 6: Final answer
    x = 1,463.05

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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.