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Finding the Fourth Proportional to 1,655.88, 2,482.10 and 1,216.49

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Solution

The fourth proportional to 1,655.88, 2,482.10 and 1,216.49 is: 1,823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.88 : 2,482.10 = 1,216.49 : x
  2. Step 2: Convert to fraction form
    1,655.88/2,482.10 = 1,216.49/x
  3. Step 3: Cross multiply
    1,655.88x = 2,482.10 × 1,216.49
  4. Step 4: Simplify right side
    1,655.88x = 3,019,431.34
  5. Step 5: Solve for x
    x = 3,019,431.34/1,655.88
  6. Step 6: Final answer
    x = 1,823.46

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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.