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Finding the Fourth Proportional to 1,771.67, 2,444.71 and 1,025.47

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Solution

The fourth proportional to 1,771.67, 2,444.71 and 1,025.47 is: 1,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.67 : 2,444.71 = 1,025.47 : x
  2. Step 2: Convert to fraction form
    1,771.67/2,444.71 = 1,025.47/x
  3. Step 3: Cross multiply
    1,771.67x = 2,444.71 × 1,025.47
  4. Step 4: Simplify right side
    1,771.67x = 2,506,976.76
  5. Step 5: Solve for x
    x = 2,506,976.76/1,771.67
  6. Step 6: Final answer
    x = 1,415.04

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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.