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Finding the Fourth Proportional to 2,907.80, 4,362.96 and 1,264.76

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Solution

The fourth proportional to 2,907.80, 4,362.96 and 1,264.76 is: 1,897.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.80 : 4,362.96 = 1,264.76 : x
  2. Step 2: Convert to fraction form
    2,907.80/4,362.96 = 1,264.76/x
  3. Step 3: Cross multiply
    2,907.80x = 4,362.96 × 1,264.76
  4. Step 4: Simplify right side
    2,907.80x = 5,518,097.29
  5. Step 5: Solve for x
    x = 5,518,097.29/2,907.80
  6. Step 6: Final answer
    x = 1,897.69

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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.