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Finding the Fourth Proportional to 1,290.40, 1,927.40 and 1,108.48

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Solution

The fourth proportional to 1,290.40, 1,927.40 and 1,108.48 is: 1,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.40 : 1,927.40 = 1,108.48 : x
  2. Step 2: Convert to fraction form
    1,290.40/1,927.40 = 1,108.48/x
  3. Step 3: Cross multiply
    1,290.40x = 1,927.40 × 1,108.48
  4. Step 4: Simplify right side
    1,290.40x = 2,136,484.35
  5. Step 5: Solve for x
    x = 2,136,484.35/1,290.40
  6. Step 6: Final answer
    x = 1,655.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.