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Finding the Fourth Proportional to 1,466, 2,023.98 and 942.95

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Solution

The fourth proportional to 1,466, 2,023.98 and 942.95 is: 1,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466 : 2,023.98 = 942.95 : x
  2. Step 2: Convert to fraction form
    1,466/2,023.98 = 942.95/x
  3. Step 3: Cross multiply
    1,466x = 2,023.98 × 942.95
  4. Step 4: Simplify right side
    1,466x = 1,908,511.94
  5. Step 5: Solve for x
    x = 1,908,511.94/1,466
  6. Step 6: Final answer
    x = 1,301.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.