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Finding the Fourth Proportional to 2,053.11, 3,075.35 and 958.35

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Solution

The fourth proportional to 2,053.11, 3,075.35 and 958.35 is: 1,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.11 : 3,075.35 = 958.35 : x
  2. Step 2: Convert to fraction form
    2,053.11/3,075.35 = 958.35/x
  3. Step 3: Cross multiply
    2,053.11x = 3,075.35 × 958.35
  4. Step 4: Simplify right side
    2,053.11x = 2,947,256.88
  5. Step 5: Solve for x
    x = 2,947,256.88/2,053.11
  6. Step 6: Final answer
    x = 1,435.51

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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.