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Finding the Fourth Proportional to 1,462.04, 2,017.54 and 841

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Solution

The fourth proportional to 1,462.04, 2,017.54 and 841 is: 1,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.04 : 2,017.54 = 841 : x
  2. Step 2: Convert to fraction form
    1,462.04/2,017.54 = 841/x
  3. Step 3: Cross multiply
    1,462.04x = 2,017.54 × 841
  4. Step 4: Simplify right side
    1,462.04x = 1,696,751.14
  5. Step 5: Solve for x
    x = 1,696,751.14/1,462.04
  6. Step 6: Final answer
    x = 1,160.54

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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.