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Finding the Fourth Proportional to 1,695, 2,339.10 and 1,106.55

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Solution

The fourth proportional to 1,695, 2,339.10 and 1,106.55 is: 1,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695 : 2,339.10 = 1,106.55 : x
  2. Step 2: Convert to fraction form
    1,695/2,339.10 = 1,106.55/x
  3. Step 3: Cross multiply
    1,695x = 2,339.10 × 1,106.55
  4. Step 4: Simplify right side
    1,695x = 2,588,331.11
  5. Step 5: Solve for x
    x = 2,588,331.11/1,695
  6. Step 6: Final answer
    x = 1,527.04

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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.