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Finding the Fourth Proportional to 2,698.55, 4,044.93 and 1,926.71

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Solution

The fourth proportional to 2,698.55, 4,044.93 and 1,926.71 is: 2,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.55 : 4,044.93 = 1,926.71 : x
  2. Step 2: Convert to fraction form
    2,698.55/4,044.93 = 1,926.71/x
  3. Step 3: Cross multiply
    2,698.55x = 4,044.93 × 1,926.71
  4. Step 4: Simplify right side
    2,698.55x = 7,793,407.08
  5. Step 5: Solve for x
    x = 7,793,407.08/2,698.55
  6. Step 6: Final answer
    x = 2,888.00

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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.