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Finding the Fourth Proportional to 1,730.46, 2,597.06 and 1,525.43

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Solution

The fourth proportional to 1,730.46, 2,597.06 and 1,525.43 is: 2,289.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.46 : 2,597.06 = 1,525.43 : x
  2. Step 2: Convert to fraction form
    1,730.46/2,597.06 = 1,525.43/x
  3. Step 3: Cross multiply
    1,730.46x = 2,597.06 × 1,525.43
  4. Step 4: Simplify right side
    1,730.46x = 3,961,643.54
  5. Step 5: Solve for x
    x = 3,961,643.54/1,730.46
  6. Step 6: Final answer
    x = 2,289.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.