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Finding the Fourth Proportional to 1,858.65, 2,784.96 and 981.11

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Solution

The fourth proportional to 1,858.65, 2,784.96 and 981.11 is: 1,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.65 : 2,784.96 = 981.11 : x
  2. Step 2: Convert to fraction form
    1,858.65/2,784.96 = 981.11/x
  3. Step 3: Cross multiply
    1,858.65x = 2,784.96 × 981.11
  4. Step 4: Simplify right side
    1,858.65x = 2,732,338.18
  5. Step 5: Solve for x
    x = 2,732,338.18/1,858.65
  6. Step 6: Final answer
    x = 1,470.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.