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Finding the Fourth Proportional to 1,461.90, 2,190.15 and 1,364.70

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Solution

The fourth proportional to 1,461.90, 2,190.15 and 1,364.70 is: 2,044.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.90 : 2,190.15 = 1,364.70 : x
  2. Step 2: Convert to fraction form
    1,461.90/2,190.15 = 1,364.70/x
  3. Step 3: Cross multiply
    1,461.90x = 2,190.15 × 1,364.70
  4. Step 4: Simplify right side
    1,461.90x = 2,988,897.71
  5. Step 5: Solve for x
    x = 2,988,897.71/1,461.90
  6. Step 6: Final answer
    x = 2,044.53

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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.