Home / 1,678.93-2,316.50-1,006.84

Finding the Fourth Proportional to 1,678.93, 2,316.50 and 1,006.84

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Solution

The fourth proportional to 1,678.93, 2,316.50 and 1,006.84 is: 1,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.93 : 2,316.50 = 1,006.84 : x
  2. Step 2: Convert to fraction form
    1,678.93/2,316.50 = 1,006.84/x
  3. Step 3: Cross multiply
    1,678.93x = 2,316.50 × 1,006.84
  4. Step 4: Simplify right side
    1,678.93x = 2,332,344.86
  5. Step 5: Solve for x
    x = 2,332,344.86/1,678.93
  6. Step 6: Final answer
    x = 1,389.19

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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.