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Finding the Fourth Proportional to 2,409.72, 3,607.74 and 1,585.51

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Solution

The fourth proportional to 2,409.72, 3,607.74 and 1,585.51 is: 2,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.72 : 3,607.74 = 1,585.51 : x
  2. Step 2: Convert to fraction form
    2,409.72/3,607.74 = 1,585.51/x
  3. Step 3: Cross multiply
    2,409.72x = 3,607.74 × 1,585.51
  4. Step 4: Simplify right side
    2,409.72x = 5,720,098.83
  5. Step 5: Solve for x
    x = 5,720,098.83/2,409.72
  6. Step 6: Final answer
    x = 2,373.76

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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.