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Finding the Fourth Proportional to 1,641.42, 2,462.30 and 530.46

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Solution

The fourth proportional to 1,641.42, 2,462.30 and 530.46 is: 795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.42 : 2,462.30 = 530.46 : x
  2. Step 2: Convert to fraction form
    1,641.42/2,462.30 = 530.46/x
  3. Step 3: Cross multiply
    1,641.42x = 2,462.30 × 530.46
  4. Step 4: Simplify right side
    1,641.42x = 1,306,151.66
  5. Step 5: Solve for x
    x = 1,306,151.66/1,641.42
  6. Step 6: Final answer
    x = 795.74

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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.