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Finding the Fourth Proportional to 1,700.47, 2,551.98 and 1,262.74

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Solution

The fourth proportional to 1,700.47, 2,551.98 and 1,262.74 is: 1,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.47 : 2,551.98 = 1,262.74 : x
  2. Step 2: Convert to fraction form
    1,700.47/2,551.98 = 1,262.74/x
  3. Step 3: Cross multiply
    1,700.47x = 2,551.98 × 1,262.74
  4. Step 4: Simplify right side
    1,700.47x = 3,222,486.81
  5. Step 5: Solve for x
    x = 3,222,486.81/1,700.47
  6. Step 6: Final answer
    x = 1,895.06

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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.