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Finding the Fourth Proportional to 1,678.93, 2,316.97 and 932.99

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Solution

The fourth proportional to 1,678.93, 2,316.97 and 932.99 is: 1,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.93 : 2,316.97 = 932.99 : x
  2. Step 2: Convert to fraction form
    1,678.93/2,316.97 = 932.99/x
  3. Step 3: Cross multiply
    1,678.93x = 2,316.97 × 932.99
  4. Step 4: Simplify right side
    1,678.93x = 2,161,699.42
  5. Step 5: Solve for x
    x = 2,161,699.42/1,678.93
  6. Step 6: Final answer
    x = 1,287.55

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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.