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Finding the Fourth Proportional to 2,509.33, 3,765.21 and 1,534.90

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Solution

The fourth proportional to 2,509.33, 3,765.21 and 1,534.90 is: 2,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.33 : 3,765.21 = 1,534.90 : x
  2. Step 2: Convert to fraction form
    2,509.33/3,765.21 = 1,534.90/x
  3. Step 3: Cross multiply
    2,509.33x = 3,765.21 × 1,534.90
  4. Step 4: Simplify right side
    2,509.33x = 5,779,220.83
  5. Step 5: Solve for x
    x = 5,779,220.83/2,509.33
  6. Step 6: Final answer
    x = 2,303.09

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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.