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Finding the Fourth Proportional to 3,098.61, 4,277.21 and 2,051.01

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Solution

The fourth proportional to 3,098.61, 4,277.21 and 2,051.01 is: 2,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.61 : 4,277.21 = 2,051.01 : x
  2. Step 2: Convert to fraction form
    3,098.61/4,277.21 = 2,051.01/x
  3. Step 3: Cross multiply
    3,098.61x = 4,277.21 × 2,051.01
  4. Step 4: Simplify right side
    3,098.61x = 8,772,590.23
  5. Step 5: Solve for x
    x = 8,772,590.23/3,098.61
  6. Step 6: Final answer
    x = 2,831.14

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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.