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Finding the Fourth Proportional to 1,730.89, 2,597.24 and 561.25

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Solution

The fourth proportional to 1,730.89, 2,597.24 and 561.25 is: 842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.89 : 2,597.24 = 561.25 : x
  2. Step 2: Convert to fraction form
    1,730.89/2,597.24 = 561.25/x
  3. Step 3: Cross multiply
    1,730.89x = 2,597.24 × 561.25
  4. Step 4: Simplify right side
    1,730.89x = 1,457,700.95
  5. Step 5: Solve for x
    x = 1,457,700.95/1,730.89
  6. Step 6: Final answer
    x = 842.17

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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.