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Finding the Fourth Proportional to 1,417.94, 1,956.26 and 886.46

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Solution

The fourth proportional to 1,417.94, 1,956.26 and 886.46 is: 1,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.94 : 1,956.26 = 886.46 : x
  2. Step 2: Convert to fraction form
    1,417.94/1,956.26 = 886.46/x
  3. Step 3: Cross multiply
    1,417.94x = 1,956.26 × 886.46
  4. Step 4: Simplify right side
    1,417.94x = 1,734,146.24
  5. Step 5: Solve for x
    x = 1,734,146.24/1,417.94
  6. Step 6: Final answer
    x = 1,223.00

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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.