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Finding the Fourth Proportional to 2,967.93, 4,455.14 and 1,237.77

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Solution

The fourth proportional to 2,967.93, 4,455.14 and 1,237.77 is: 1,858.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.93 : 4,455.14 = 1,237.77 : x
  2. Step 2: Convert to fraction form
    2,967.93/4,455.14 = 1,237.77/x
  3. Step 3: Cross multiply
    2,967.93x = 4,455.14 × 1,237.77
  4. Step 4: Simplify right side
    2,967.93x = 5,514,432.45
  5. Step 5: Solve for x
    x = 5,514,432.45/2,967.93
  6. Step 6: Final answer
    x = 1,858.01

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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.