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Finding the Fourth Proportional to 1,598.60, 2,396.28 and 866.64

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Solution

The fourth proportional to 1,598.60, 2,396.28 and 866.64 is: 1,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.60 : 2,396.28 = 866.64 : x
  2. Step 2: Convert to fraction form
    1,598.60/2,396.28 = 866.64/x
  3. Step 3: Cross multiply
    1,598.60x = 2,396.28 × 866.64
  4. Step 4: Simplify right side
    1,598.60x = 2,076,712.10
  5. Step 5: Solve for x
    x = 2,076,712.10/1,598.60
  6. Step 6: Final answer
    x = 1,299.08

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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.