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Finding the Fourth Proportional to 2,145.70, 3,222.18 and 1,416.70

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Solution

The fourth proportional to 2,145.70, 3,222.18 and 1,416.70 is: 2,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.70 : 3,222.18 = 1,416.70 : x
  2. Step 2: Convert to fraction form
    2,145.70/3,222.18 = 1,416.70/x
  3. Step 3: Cross multiply
    2,145.70x = 3,222.18 × 1,416.70
  4. Step 4: Simplify right side
    2,145.70x = 4,564,862.41
  5. Step 5: Solve for x
    x = 4,564,862.41/2,145.70
  6. Step 6: Final answer
    x = 2,127.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.