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Finding the Fourth Proportional to 1,722.40, 2,583.93 and 735.19

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Solution

The fourth proportional to 1,722.40, 2,583.93 and 735.19 is: 1,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.40 : 2,583.93 = 735.19 : x
  2. Step 2: Convert to fraction form
    1,722.40/2,583.93 = 735.19/x
  3. Step 3: Cross multiply
    1,722.40x = 2,583.93 × 735.19
  4. Step 4: Simplify right side
    1,722.40x = 1,899,679.50
  5. Step 5: Solve for x
    x = 1,899,679.50/1,722.40
  6. Step 6: Final answer
    x = 1,102.93

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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.