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Finding the Fourth Proportional to 2,047.19, 3,069.88 and 586.01

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Solution

The fourth proportional to 2,047.19, 3,069.88 and 586.01 is: 878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.19 : 3,069.88 = 586.01 : x
  2. Step 2: Convert to fraction form
    2,047.19/3,069.88 = 586.01/x
  3. Step 3: Cross multiply
    2,047.19x = 3,069.88 × 586.01
  4. Step 4: Simplify right side
    2,047.19x = 1,798,980.38
  5. Step 5: Solve for x
    x = 1,798,980.38/2,047.19
  6. Step 6: Final answer
    x = 878.76

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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.