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Finding the Fourth Proportional to 1,695.91, 2,339.07 and 1,460.26

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Solution

The fourth proportional to 1,695.91, 2,339.07 and 1,460.26 is: 2,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.91 : 2,339.07 = 1,460.26 : x
  2. Step 2: Convert to fraction form
    1,695.91/2,339.07 = 1,460.26/x
  3. Step 3: Cross multiply
    1,695.91x = 2,339.07 × 1,460.26
  4. Step 4: Simplify right side
    1,695.91x = 3,415,650.36
  5. Step 5: Solve for x
    x = 3,415,650.36/1,695.91
  6. Step 6: Final answer
    x = 2,014.05

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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.