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Finding the Fourth Proportional to 1,670.52, 2,305.26 and 924.62

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Solution

The fourth proportional to 1,670.52, 2,305.26 and 924.62 is: 1,275.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.52 : 2,305.26 = 924.62 : x
  2. Step 2: Convert to fraction form
    1,670.52/2,305.26 = 924.62/x
  3. Step 3: Cross multiply
    1,670.52x = 2,305.26 × 924.62
  4. Step 4: Simplify right side
    1,670.52x = 2,131,477.97
  5. Step 5: Solve for x
    x = 2,131,477.97/1,670.52
  6. Step 6: Final answer
    x = 1,275.93

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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.