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Finding the Fourth Proportional to 2,267.60, 3,130.47 and 1,567.76

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Solution

The fourth proportional to 2,267.60, 3,130.47 and 1,567.76 is: 2,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.60 : 3,130.47 = 1,567.76 : x
  2. Step 2: Convert to fraction form
    2,267.60/3,130.47 = 1,567.76/x
  3. Step 3: Cross multiply
    2,267.60x = 3,130.47 × 1,567.76
  4. Step 4: Simplify right side
    2,267.60x = 4,907,809.99
  5. Step 5: Solve for x
    x = 4,907,809.99/2,267.60
  6. Step 6: Final answer
    x = 2,164.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.