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Finding the Fourth Proportional to 1,722.98, 2,587.35 and 1,709.54

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Solution

The fourth proportional to 1,722.98, 2,587.35 and 1,709.54 is: 2,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.98 : 2,587.35 = 1,709.54 : x
  2. Step 2: Convert to fraction form
    1,722.98/2,587.35 = 1,709.54/x
  3. Step 3: Cross multiply
    1,722.98x = 2,587.35 × 1,709.54
  4. Step 4: Simplify right side
    1,722.98x = 4,423,178.32
  5. Step 5: Solve for x
    x = 4,423,178.32/1,722.98
  6. Step 6: Final answer
    x = 2,567.17

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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.