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Finding the Fourth Proportional to 1,854.29, 2,778.22 and 975.48

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Solution

The fourth proportional to 1,854.29, 2,778.22 and 975.48 is: 1,461.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.29 : 2,778.22 = 975.48 : x
  2. Step 2: Convert to fraction form
    1,854.29/2,778.22 = 975.48/x
  3. Step 3: Cross multiply
    1,854.29x = 2,778.22 × 975.48
  4. Step 4: Simplify right side
    1,854.29x = 2,710,098.05
  5. Step 5: Solve for x
    x = 2,710,098.05/1,854.29
  6. Step 6: Final answer
    x = 1,461.53

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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.