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Finding the Fourth Proportional to 2,154.81, 2,972.82 and 1,314.93

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Solution

The fourth proportional to 2,154.81, 2,972.82 and 1,314.93 is: 1,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.81 : 2,972.82 = 1,314.93 : x
  2. Step 2: Convert to fraction form
    2,154.81/2,972.82 = 1,314.93/x
  3. Step 3: Cross multiply
    2,154.81x = 2,972.82 × 1,314.93
  4. Step 4: Simplify right side
    2,154.81x = 3,909,050.20
  5. Step 5: Solve for x
    x = 3,909,050.20/2,154.81
  6. Step 6: Final answer
    x = 1,814.10

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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.