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Finding the Fourth Proportional to 1,787.77, 2,466.64 and 1,031.53

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Solution

The fourth proportional to 1,787.77, 2,466.64 and 1,031.53 is: 1,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.77 : 2,466.64 = 1,031.53 : x
  2. Step 2: Convert to fraction form
    1,787.77/2,466.64 = 1,031.53/x
  3. Step 3: Cross multiply
    1,787.77x = 2,466.64 × 1,031.53
  4. Step 4: Simplify right side
    1,787.77x = 2,544,413.16
  5. Step 5: Solve for x
    x = 2,544,413.16/1,787.77
  6. Step 6: Final answer
    x = 1,423.23

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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.