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Finding the Fourth Proportional to 2,570, 3,546.60 and 1,466

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Solution

The fourth proportional to 2,570, 3,546.60 and 1,466 is: 2,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570 : 3,546.60 = 1,466 : x
  2. Step 2: Convert to fraction form
    2,570/3,546.60 = 1,466/x
  3. Step 3: Cross multiply
    2,570x = 3,546.60 × 1,466
  4. Step 4: Simplify right side
    2,570x = 5,199,315.60
  5. Step 5: Solve for x
    x = 5,199,315.60/2,570
  6. Step 6: Final answer
    x = 2,023.08

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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.