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Finding the Fourth Proportional to 1,381.84, 2,070.72 and 651.22

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Solution

The fourth proportional to 1,381.84, 2,070.72 and 651.22 is: 975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.84 : 2,070.72 = 651.22 : x
  2. Step 2: Convert to fraction form
    1,381.84/2,070.72 = 651.22/x
  3. Step 3: Cross multiply
    1,381.84x = 2,070.72 × 651.22
  4. Step 4: Simplify right side
    1,381.84x = 1,348,494.28
  5. Step 5: Solve for x
    x = 1,348,494.28/1,381.84
  6. Step 6: Final answer
    x = 975.87

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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.