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Finding the Fourth Proportional to 1,493.49, 2,061.05 and 903.93

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Solution

The fourth proportional to 1,493.49, 2,061.05 and 903.93 is: 1,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.49 : 2,061.05 = 903.93 : x
  2. Step 2: Convert to fraction form
    1,493.49/2,061.05 = 903.93/x
  3. Step 3: Cross multiply
    1,493.49x = 2,061.05 × 903.93
  4. Step 4: Simplify right side
    1,493.49x = 1,863,044.93
  5. Step 5: Solve for x
    x = 1,863,044.93/1,493.49
  6. Step 6: Final answer
    x = 1,247.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.