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Finding the Fourth Proportional to 1,703.41, 2,348.54 and 1,142.99

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Solution

The fourth proportional to 1,703.41, 2,348.54 and 1,142.99 is: 1,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.41 : 2,348.54 = 1,142.99 : x
  2. Step 2: Convert to fraction form
    1,703.41/2,348.54 = 1,142.99/x
  3. Step 3: Cross multiply
    1,703.41x = 2,348.54 × 1,142.99
  4. Step 4: Simplify right side
    1,703.41x = 2,684,362.18
  5. Step 5: Solve for x
    x = 2,684,362.18/1,703.41
  6. Step 6: Final answer
    x = 1,575.87

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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.