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Finding the Fourth Proportional to 1,696.32, 2,339.62 and 1,460.67

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Solution

The fourth proportional to 1,696.32, 2,339.62 and 1,460.67 is: 2,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.32 : 2,339.62 = 1,460.67 : x
  2. Step 2: Convert to fraction form
    1,696.32/2,339.62 = 1,460.67/x
  3. Step 3: Cross multiply
    1,696.32x = 2,339.62 × 1,460.67
  4. Step 4: Simplify right side
    1,696.32x = 3,417,423.34
  5. Step 5: Solve for x
    x = 3,417,423.34/1,696.32
  6. Step 6: Final answer
    x = 2,014.61

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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.