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Finding the Fourth Proportional to 1,552.95, 2,323.11 and 1,064.91

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Solution

The fourth proportional to 1,552.95, 2,323.11 and 1,064.91 is: 1,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.95 : 2,323.11 = 1,064.91 : x
  2. Step 2: Convert to fraction form
    1,552.95/2,323.11 = 1,064.91/x
  3. Step 3: Cross multiply
    1,552.95x = 2,323.11 × 1,064.91
  4. Step 4: Simplify right side
    1,552.95x = 2,473,903.07
  5. Step 5: Solve for x
    x = 2,473,903.07/1,552.95
  6. Step 6: Final answer
    x = 1,593.03

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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.