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Finding the Fourth Proportional to 1,225.42, 1,838.04 and 1,090

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Solution

The fourth proportional to 1,225.42, 1,838.04 and 1,090 is: 1,634.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.42 : 1,838.04 = 1,090 : x
  2. Step 2: Convert to fraction form
    1,225.42/1,838.04 = 1,090/x
  3. Step 3: Cross multiply
    1,225.42x = 1,838.04 × 1,090
  4. Step 4: Simplify right side
    1,225.42x = 2,003,463.60
  5. Step 5: Solve for x
    x = 2,003,463.60/1,225.42
  6. Step 6: Final answer
    x = 1,634.92

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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.