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Finding the Fourth Proportional to 3,048.80, 4,567.80 and 2,854.40

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Solution

The fourth proportional to 3,048.80, 4,567.80 and 2,854.40 is: 4,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.80 : 4,567.80 = 2,854.40 : x
  2. Step 2: Convert to fraction form
    3,048.80/4,567.80 = 2,854.40/x
  3. Step 3: Cross multiply
    3,048.80x = 4,567.80 × 2,854.40
  4. Step 4: Simplify right side
    3,048.80x = 13,038,328.32
  5. Step 5: Solve for x
    x = 13,038,328.32/3,048.80
  6. Step 6: Final answer
    x = 4,276.54

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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.