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Finding the Fourth Proportional to 1,504.66, 2,076.40 and 841.58

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Solution

The fourth proportional to 1,504.66, 2,076.40 and 841.58 is: 1,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.66 : 2,076.40 = 841.58 : x
  2. Step 2: Convert to fraction form
    1,504.66/2,076.40 = 841.58/x
  3. Step 3: Cross multiply
    1,504.66x = 2,076.40 × 841.58
  4. Step 4: Simplify right side
    1,504.66x = 1,747,444.23
  5. Step 5: Solve for x
    x = 1,747,444.23/1,504.66
  6. Step 6: Final answer
    x = 1,161.36

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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.