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Finding the Fourth Proportional to 3,097.65, 4,645.26 and 1,017.17

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Solution

The fourth proportional to 3,097.65, 4,645.26 and 1,017.17 is: 1,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.65 : 4,645.26 = 1,017.17 : x
  2. Step 2: Convert to fraction form
    3,097.65/4,645.26 = 1,017.17/x
  3. Step 3: Cross multiply
    3,097.65x = 4,645.26 × 1,017.17
  4. Step 4: Simplify right side
    3,097.65x = 4,724,995.89
  5. Step 5: Solve for x
    x = 4,724,995.89/3,097.65
  6. Step 6: Final answer
    x = 1,525.35

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1.5x scale

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.