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Finding the Fourth Proportional to 1,615.91, 2,423.79 and 690.80

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Solution

The fourth proportional to 1,615.91, 2,423.79 and 690.80 is: 1,036.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.91 : 2,423.79 = 690.80 : x
  2. Step 2: Convert to fraction form
    1,615.91/2,423.79 = 690.80/x
  3. Step 3: Cross multiply
    1,615.91x = 2,423.79 × 690.80
  4. Step 4: Simplify right side
    1,615.91x = 1,674,342.01
  5. Step 5: Solve for x
    x = 1,674,342.01/1,615.91
  6. Step 6: Final answer
    x = 1,036.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.