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Finding the Fourth Proportional to 2,566.64, 3,541.93 and 1,447.93

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Solution

The fourth proportional to 2,566.64, 3,541.93 and 1,447.93 is: 1,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.64 : 3,541.93 = 1,447.93 : x
  2. Step 2: Convert to fraction form
    2,566.64/3,541.93 = 1,447.93/x
  3. Step 3: Cross multiply
    2,566.64x = 3,541.93 × 1,447.93
  4. Step 4: Simplify right side
    2,566.64x = 5,128,477.47
  5. Step 5: Solve for x
    x = 5,128,477.47/2,566.64
  6. Step 6: Final answer
    x = 1,998.13

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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.