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Finding the Fourth Proportional to 2,907.16, 4,362.50 and 1,263.76

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Solution

The fourth proportional to 2,907.16, 4,362.50 and 1,263.76 is: 1,896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.16 : 4,362.50 = 1,263.76 : x
  2. Step 2: Convert to fraction form
    2,907.16/4,362.50 = 1,263.76/x
  3. Step 3: Cross multiply
    2,907.16x = 4,362.50 × 1,263.76
  4. Step 4: Simplify right side
    2,907.16x = 5,513,153
  5. Step 5: Solve for x
    x = 5,513,153/2,907.16
  6. Step 6: Final answer
    x = 1,896.41

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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.