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Finding the Fourth Proportional to 1,754.42, 2,424.30 and 1,502.30

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Solution

The fourth proportional to 1,754.42, 2,424.30 and 1,502.30 is: 2,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.42 : 2,424.30 = 1,502.30 : x
  2. Step 2: Convert to fraction form
    1,754.42/2,424.30 = 1,502.30/x
  3. Step 3: Cross multiply
    1,754.42x = 2,424.30 × 1,502.30
  4. Step 4: Simplify right side
    1,754.42x = 3,642,006.26
  5. Step 5: Solve for x
    x = 3,642,006.26/1,754.42
  6. Step 6: Final answer
    x = 2,075.91

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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.