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Finding the Fourth Proportional to 2,484.66, 3,430.43 and 1,541.44

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Solution

The fourth proportional to 2,484.66, 3,430.43 and 1,541.44 is: 2,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.66 : 3,430.43 = 1,541.44 : x
  2. Step 2: Convert to fraction form
    2,484.66/3,430.43 = 1,541.44/x
  3. Step 3: Cross multiply
    2,484.66x = 3,430.43 × 1,541.44
  4. Step 4: Simplify right side
    2,484.66x = 5,287,802.02
  5. Step 5: Solve for x
    x = 5,287,802.02/2,484.66
  6. Step 6: Final answer
    x = 2,128.18

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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.