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Finding the Fourth Proportional to 2,154.34, 2,972.44 and 1,314.99

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Solution

The fourth proportional to 2,154.34, 2,972.44 and 1,314.99 is: 1,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.34 : 2,972.44 = 1,314.99 : x
  2. Step 2: Convert to fraction form
    2,154.34/2,972.44 = 1,314.99/x
  3. Step 3: Cross multiply
    2,154.34x = 2,972.44 × 1,314.99
  4. Step 4: Simplify right side
    2,154.34x = 3,908,728.88
  5. Step 5: Solve for x
    x = 3,908,728.88/2,154.34
  6. Step 6: Final answer
    x = 1,814.35

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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.