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Finding the Fourth Proportional to 1,598.34, 2,392.56 and 866.10

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Solution

The fourth proportional to 1,598.34, 2,392.56 and 866.10 is: 1,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.34 : 2,392.56 = 866.10 : x
  2. Step 2: Convert to fraction form
    1,598.34/2,392.56 = 866.10/x
  3. Step 3: Cross multiply
    1,598.34x = 2,392.56 × 866.10
  4. Step 4: Simplify right side
    1,598.34x = 2,072,196.22
  5. Step 5: Solve for x
    x = 2,072,196.22/1,598.34
  6. Step 6: Final answer
    x = 1,296.47

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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.