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Finding the Fourth Proportional to 1,597.68, 2,206.19 and 1,075.23

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Solution

The fourth proportional to 1,597.68, 2,206.19 and 1,075.23 is: 1,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.68 : 2,206.19 = 1,075.23 : x
  2. Step 2: Convert to fraction form
    1,597.68/2,206.19 = 1,075.23/x
  3. Step 3: Cross multiply
    1,597.68x = 2,206.19 × 1,075.23
  4. Step 4: Simplify right side
    1,597.68x = 2,372,156.30
  5. Step 5: Solve for x
    x = 2,372,156.30/1,597.68
  6. Step 6: Final answer
    x = 1,484.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.