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Finding the Fourth Proportional to 1,710.66, 2,345.30 and 1,679.52

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Solution

The fourth proportional to 1,710.66, 2,345.30 and 1,679.52 is: 2,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.66 : 2,345.30 = 1,679.52 : x
  2. Step 2: Convert to fraction form
    1,710.66/2,345.30 = 1,679.52/x
  3. Step 3: Cross multiply
    1,710.66x = 2,345.30 × 1,679.52
  4. Step 4: Simplify right side
    1,710.66x = 3,938,978.26
  5. Step 5: Solve for x
    x = 3,938,978.26/1,710.66
  6. Step 6: Final answer
    x = 2,302.61

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.