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Finding the Fourth Proportional to 1,597.59, 2,395.78 and 866.77

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Solution

The fourth proportional to 1,597.59, 2,395.78 and 866.77 is: 1,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.59 : 2,395.78 = 866.77 : x
  2. Step 2: Convert to fraction form
    1,597.59/2,395.78 = 866.77/x
  3. Step 3: Cross multiply
    1,597.59x = 2,395.78 × 866.77
  4. Step 4: Simplify right side
    1,597.59x = 2,076,582.07
  5. Step 5: Solve for x
    x = 2,076,582.07/1,597.59
  6. Step 6: Final answer
    x = 1,299.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.