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Finding the Fourth Proportional to 2,317.55, 3,473.49 and 1,017.50

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Solution

The fourth proportional to 2,317.55, 3,473.49 and 1,017.50 is: 1,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.55 : 3,473.49 = 1,017.50 : x
  2. Step 2: Convert to fraction form
    2,317.55/3,473.49 = 1,017.50/x
  3. Step 3: Cross multiply
    2,317.55x = 3,473.49 × 1,017.50
  4. Step 4: Simplify right side
    2,317.55x = 3,534,276.08
  5. Step 5: Solve for x
    x = 3,534,276.08/2,317.55
  6. Step 6: Final answer
    x = 1,525.01

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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.