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Finding the Fourth Proportional to 1,534.36, 2,300.72 and 753.19

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Solution

The fourth proportional to 1,534.36, 2,300.72 and 753.19 is: 1,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.36 : 2,300.72 = 753.19 : x
  2. Step 2: Convert to fraction form
    1,534.36/2,300.72 = 753.19/x
  3. Step 3: Cross multiply
    1,534.36x = 2,300.72 × 753.19
  4. Step 4: Simplify right side
    1,534.36x = 1,732,879.30
  5. Step 5: Solve for x
    x = 1,732,879.30/1,534.36
  6. Step 6: Final answer
    x = 1,129.38

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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.