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Finding the Fourth Proportional to 3,042.48, 4,564.48 and 1,655.44

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Solution

The fourth proportional to 3,042.48, 4,564.48 and 1,655.44 is: 2,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.48 : 4,564.48 = 1,655.44 : x
  2. Step 2: Convert to fraction form
    3,042.48/4,564.48 = 1,655.44/x
  3. Step 3: Cross multiply
    3,042.48x = 4,564.48 × 1,655.44
  4. Step 4: Simplify right side
    3,042.48x = 7,556,222.77
  5. Step 5: Solve for x
    x = 7,556,222.77/3,042.48
  6. Step 6: Final answer
    x = 2,483.57

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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.