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Finding the Fourth Proportional to 2,657.00, 3,666.51 and 1,461.96

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Solution

The fourth proportional to 2,657.00, 3,666.51 and 1,461.96 is: 2,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.00 : 3,666.51 = 1,461.96 : x
  2. Step 2: Convert to fraction form
    2,657.00/3,666.51 = 1,461.96/x
  3. Step 3: Cross multiply
    2,657.00x = 3,666.51 × 1,461.96
  4. Step 4: Simplify right side
    2,657.00x = 5,360,290.96
  5. Step 5: Solve for x
    x = 5,360,290.96/2,657.00
  6. Step 6: Final answer
    x = 2,017.42

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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.