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Finding the Fourth Proportional to 2,562.59, 3,533.06 and 1,678.07

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Solution

The fourth proportional to 2,562.59, 3,533.06 and 1,678.07 is: 2,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.59 : 3,533.06 = 1,678.07 : x
  2. Step 2: Convert to fraction form
    2,562.59/3,533.06 = 1,678.07/x
  3. Step 3: Cross multiply
    2,562.59x = 3,533.06 × 1,678.07
  4. Step 4: Simplify right side
    2,562.59x = 5,928,708.52
  5. Step 5: Solve for x
    x = 5,928,708.52/2,562.59
  6. Step 6: Final answer
    x = 2,313.57

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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.