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Finding the Fourth Proportional to 1,748.04, 2,618.25 and 1,095.58

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Solution

The fourth proportional to 1,748.04, 2,618.25 and 1,095.58 is: 1,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.04 : 2,618.25 = 1,095.58 : x
  2. Step 2: Convert to fraction form
    1,748.04/2,618.25 = 1,095.58/x
  3. Step 3: Cross multiply
    1,748.04x = 2,618.25 × 1,095.58
  4. Step 4: Simplify right side
    1,748.04x = 2,868,502.34
  5. Step 5: Solve for x
    x = 2,868,502.34/1,748.04
  6. Step 6: Final answer
    x = 1,640.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.