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Finding the Fourth Proportional to 2,050.58, 3,075.84 and 569.81

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Solution

The fourth proportional to 2,050.58, 3,075.84 and 569.81 is: 854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.58 : 3,075.84 = 569.81 : x
  2. Step 2: Convert to fraction form
    2,050.58/3,075.84 = 569.81/x
  3. Step 3: Cross multiply
    2,050.58x = 3,075.84 × 569.81
  4. Step 4: Simplify right side
    2,050.58x = 1,752,629.01
  5. Step 5: Solve for x
    x = 1,752,629.01/2,050.58
  6. Step 6: Final answer
    x = 854.70

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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.