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Finding the Fourth Proportional to 2,937.50, 4,407.69 and 1,293.84

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Solution

The fourth proportional to 2,937.50, 4,407.69 and 1,293.84 is: 1,941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.50 : 4,407.69 = 1,293.84 : x
  2. Step 2: Convert to fraction form
    2,937.50/4,407.69 = 1,293.84/x
  3. Step 3: Cross multiply
    2,937.50x = 4,407.69 × 1,293.84
  4. Step 4: Simplify right side
    2,937.50x = 5,702,845.63
  5. Step 5: Solve for x
    x = 5,702,845.63/2,937.50
  6. Step 6: Final answer
    x = 1,941.40

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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.