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Finding the Fourth Proportional to 1,695.36, 2,340.96 and 1,564.32

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Solution

The fourth proportional to 1,695.36, 2,340.96 and 1,564.32 is: 2,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.36 : 2,340.96 = 1,564.32 : x
  2. Step 2: Convert to fraction form
    1,695.36/2,340.96 = 1,564.32/x
  3. Step 3: Cross multiply
    1,695.36x = 2,340.96 × 1,564.32
  4. Step 4: Simplify right side
    1,695.36x = 3,662,010.55
  5. Step 5: Solve for x
    x = 3,662,010.55/1,695.36
  6. Step 6: Final answer
    x = 2,160.02

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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.