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Finding the Fourth Proportional to 2,509.48, 3,462.02 and 1,577.64

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Solution

The fourth proportional to 2,509.48, 3,462.02 and 1,577.64 is: 2,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.48 : 3,462.02 = 1,577.64 : x
  2. Step 2: Convert to fraction form
    2,509.48/3,462.02 = 1,577.64/x
  3. Step 3: Cross multiply
    2,509.48x = 3,462.02 × 1,577.64
  4. Step 4: Simplify right side
    2,509.48x = 5,461,821.23
  5. Step 5: Solve for x
    x = 5,461,821.23/2,509.48
  6. Step 6: Final answer
    x = 2,176.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.