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Finding the Fourth Proportional to 2,986.77, 4,484.91 and 2,465.63

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Solution

The fourth proportional to 2,986.77, 4,484.91 and 2,465.63 is: 3,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.77 : 4,484.91 = 2,465.63 : x
  2. Step 2: Convert to fraction form
    2,986.77/4,484.91 = 2,465.63/x
  3. Step 3: Cross multiply
    2,986.77x = 4,484.91 × 2,465.63
  4. Step 4: Simplify right side
    2,986.77x = 11,058,128.64
  5. Step 5: Solve for x
    x = 11,058,128.64/2,986.77
  6. Step 6: Final answer
    x = 3,702.37

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1.5x scale

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.