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Finding the Fourth Proportional to 1,670.71, 2,305.45 and 924.66

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Solution

The fourth proportional to 1,670.71, 2,305.45 and 924.66 is: 1,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.71 : 2,305.45 = 924.66 : x
  2. Step 2: Convert to fraction form
    1,670.71/2,305.45 = 924.66/x
  3. Step 3: Cross multiply
    1,670.71x = 2,305.45 × 924.66
  4. Step 4: Simplify right side
    1,670.71x = 2,131,757.40
  5. Step 5: Solve for x
    x = 2,131,757.40/1,670.71
  6. Step 6: Final answer
    x = 1,275.96

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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.