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Finding the Fourth Proportional to 1,646.48, 2,275.08 and 1,586

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Solution

The fourth proportional to 1,646.48, 2,275.08 and 1,586 is: 2,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.48 : 2,275.08 = 1,586 : x
  2. Step 2: Convert to fraction form
    1,646.48/2,275.08 = 1,586/x
  3. Step 3: Cross multiply
    1,646.48x = 2,275.08 × 1,586
  4. Step 4: Simplify right side
    1,646.48x = 3,608,276.88
  5. Step 5: Solve for x
    x = 3,608,276.88/1,646.48
  6. Step 6: Final answer
    x = 2,191.51

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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.