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Finding the Fourth Proportional to 1,476.94, 2,038.38 and 952.87

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Solution

The fourth proportional to 1,476.94, 2,038.38 and 952.87 is: 1,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.94 : 2,038.38 = 952.87 : x
  2. Step 2: Convert to fraction form
    1,476.94/2,038.38 = 952.87/x
  3. Step 3: Cross multiply
    1,476.94x = 2,038.38 × 952.87
  4. Step 4: Simplify right side
    1,476.94x = 1,942,302.48
  5. Step 5: Solve for x
    x = 1,942,302.48/1,476.94
  6. Step 6: Final answer
    x = 1,315.09

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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.