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Finding the Fourth Proportional to 1,762.16, 2,641.82 and 787.32

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Solution

The fourth proportional to 1,762.16, 2,641.82 and 787.32 is: 1,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.16 : 2,641.82 = 787.32 : x
  2. Step 2: Convert to fraction form
    1,762.16/2,641.82 = 787.32/x
  3. Step 3: Cross multiply
    1,762.16x = 2,641.82 × 787.32
  4. Step 4: Simplify right side
    1,762.16x = 2,079,953.79
  5. Step 5: Solve for x
    x = 2,079,953.79/1,762.16
  6. Step 6: Final answer
    x = 1,180.35

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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.