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Finding the Fourth Proportional to 1,655.25, 2,482.86 and 1,290.32

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Solution

The fourth proportional to 1,655.25, 2,482.86 and 1,290.32 is: 1,935.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.25 : 2,482.86 = 1,290.32 : x
  2. Step 2: Convert to fraction form
    1,655.25/2,482.86 = 1,290.32/x
  3. Step 3: Cross multiply
    1,655.25x = 2,482.86 × 1,290.32
  4. Step 4: Simplify right side
    1,655.25x = 3,203,671.50
  5. Step 5: Solve for x
    x = 3,203,671.50/1,655.25
  6. Step 6: Final answer
    x = 1,935.46

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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.