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Finding the Fourth Proportional to 1,697.16, 2,342.31 and 1,034.00

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Solution

The fourth proportional to 1,697.16, 2,342.31 and 1,034.00 is: 1,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.16 : 2,342.31 = 1,034.00 : x
  2. Step 2: Convert to fraction form
    1,697.16/2,342.31 = 1,034.00/x
  3. Step 3: Cross multiply
    1,697.16x = 2,342.31 × 1,034.00
  4. Step 4: Simplify right side
    1,697.16x = 2,421,941.73
  5. Step 5: Solve for x
    x = 2,421,941.73/1,697.16
  6. Step 6: Final answer
    x = 1,427.05

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