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Finding the Fourth Proportional to 2,134.07, 2,941.08 and 1,543.58

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Solution

The fourth proportional to 2,134.07, 2,941.08 and 1,543.58 is: 2,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.07 : 2,941.08 = 1,543.58 : x
  2. Step 2: Convert to fraction form
    2,134.07/2,941.08 = 1,543.58/x
  3. Step 3: Cross multiply
    2,134.07x = 2,941.08 × 1,543.58
  4. Step 4: Simplify right side
    2,134.07x = 4,539,792.27
  5. Step 5: Solve for x
    x = 4,539,792.27/2,134.07
  6. Step 6: Final answer
    x = 2,127.29

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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.