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Finding the Fourth Proportional to 2,040.57, 3,056.76 and 1,064.63

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Solution

The fourth proportional to 2,040.57, 3,056.76 and 1,064.63 is: 1,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.57 : 3,056.76 = 1,064.63 : x
  2. Step 2: Convert to fraction form
    2,040.57/3,056.76 = 1,064.63/x
  3. Step 3: Cross multiply
    2,040.57x = 3,056.76 × 1,064.63
  4. Step 4: Simplify right side
    2,040.57x = 3,254,303.12
  5. Step 5: Solve for x
    x = 3,254,303.12/2,040.57
  6. Step 6: Final answer
    x = 1,594.80

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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.