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Finding the Fourth Proportional to 1,696.16, 2,339.36 and 1,032.32

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Solution

The fourth proportional to 1,696.16, 2,339.36 and 1,032.32 is: 1,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.16 : 2,339.36 = 1,032.32 : x
  2. Step 2: Convert to fraction form
    1,696.16/2,339.36 = 1,032.32/x
  3. Step 3: Cross multiply
    1,696.16x = 2,339.36 × 1,032.32
  4. Step 4: Simplify right side
    1,696.16x = 2,414,968.12
  5. Step 5: Solve for x
    x = 2,414,968.12/1,696.16
  6. Step 6: Final answer
    x = 1,423.79

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Why These Related Problems?

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