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Finding the Fourth Proportional to 1,462.54, 2,017.98 and 841.54

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Solution

The fourth proportional to 1,462.54, 2,017.98 and 841.54 is: 1,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.54 : 2,017.98 = 841.54 : x
  2. Step 2: Convert to fraction form
    1,462.54/2,017.98 = 841.54/x
  3. Step 3: Cross multiply
    1,462.54x = 2,017.98 × 841.54
  4. Step 4: Simplify right side
    1,462.54x = 1,698,210.89
  5. Step 5: Solve for x
    x = 1,698,210.89/1,462.54
  6. Step 6: Final answer
    x = 1,161.14

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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.