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Finding the Fourth Proportional to 2,030.72, 3,046.57 and 569.85

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Solution

The fourth proportional to 2,030.72, 3,046.57 and 569.85 is: 854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.72 : 3,046.57 = 569.85 : x
  2. Step 2: Convert to fraction form
    2,030.72/3,046.57 = 569.85/x
  3. Step 3: Cross multiply
    2,030.72x = 3,046.57 × 569.85
  4. Step 4: Simplify right side
    2,030.72x = 1,736,075.07
  5. Step 5: Solve for x
    x = 1,736,075.07/2,030.72
  6. Step 6: Final answer
    x = 854.91

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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.