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Finding the Fourth Proportional to 2,396.64, 3,307.47 and 1,348.77

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Solution

The fourth proportional to 2,396.64, 3,307.47 and 1,348.77 is: 1,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.64 : 3,307.47 = 1,348.77 : x
  2. Step 2: Convert to fraction form
    2,396.64/3,307.47 = 1,348.77/x
  3. Step 3: Cross multiply
    2,396.64x = 3,307.47 × 1,348.77
  4. Step 4: Simplify right side
    2,396.64x = 4,461,016.31
  5. Step 5: Solve for x
    x = 4,461,016.31/2,396.64
  6. Step 6: Final answer
    x = 1,861.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.