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Finding the Fourth Proportional to 2,993.68, 4,483.20 and 2,470.48

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Solution

The fourth proportional to 2,993.68, 4,483.20 and 2,470.48 is: 3,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.68 : 4,483.20 = 2,470.48 : x
  2. Step 2: Convert to fraction form
    2,993.68/4,483.20 = 2,470.48/x
  3. Step 3: Cross multiply
    2,993.68x = 4,483.20 × 2,470.48
  4. Step 4: Simplify right side
    2,993.68x = 11,075,655.94
  5. Step 5: Solve for x
    x = 11,075,655.94/2,993.68
  6. Step 6: Final answer
    x = 3,699.68

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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.