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Finding the Fourth Proportional to 2,075.47, 3,113.22 and 594.87

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Solution

The fourth proportional to 2,075.47, 3,113.22 and 594.87 is: 892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.47 : 3,113.22 = 594.87 : x
  2. Step 2: Convert to fraction form
    2,075.47/3,113.22 = 594.87/x
  3. Step 3: Cross multiply
    2,075.47x = 3,113.22 × 594.87
  4. Step 4: Simplify right side
    2,075.47x = 1,851,951.74
  5. Step 5: Solve for x
    x = 1,851,951.74/2,075.47
  6. Step 6: Final answer
    x = 892.31

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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.