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Finding the Fourth Proportional to 2,897.93, 4,347.73 and 818.00

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Solution

The fourth proportional to 2,897.93, 4,347.73 and 818.00 is: 1,227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.93 : 4,347.73 = 818.00 : x
  2. Step 2: Convert to fraction form
    2,897.93/4,347.73 = 818.00/x
  3. Step 3: Cross multiply
    2,897.93x = 4,347.73 × 818.00
  4. Step 4: Simplify right side
    2,897.93x = 3,556,434.13
  5. Step 5: Solve for x
    x = 3,556,434.13/2,897.93
  6. Step 6: Final answer
    x = 1,227.23

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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.