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Finding the Fourth Proportional to 1,620.47, 2,237.01 and 1,266.91

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Solution

The fourth proportional to 1,620.47, 2,237.01 and 1,266.91 is: 1,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.47 : 2,237.01 = 1,266.91 : x
  2. Step 2: Convert to fraction form
    1,620.47/2,237.01 = 1,266.91/x
  3. Step 3: Cross multiply
    1,620.47x = 2,237.01 × 1,266.91
  4. Step 4: Simplify right side
    1,620.47x = 2,834,090.34
  5. Step 5: Solve for x
    x = 2,834,090.34/1,620.47
  6. Step 6: Final answer
    x = 1,748.93

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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.