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Finding the Fourth Proportional to 1,645.84, 2,466.08 and 986.40

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Solution

The fourth proportional to 1,645.84, 2,466.08 and 986.40 is: 1,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.84 : 2,466.08 = 986.40 : x
  2. Step 2: Convert to fraction form
    1,645.84/2,466.08 = 986.40/x
  3. Step 3: Cross multiply
    1,645.84x = 2,466.08 × 986.40
  4. Step 4: Simplify right side
    1,645.84x = 2,432,541.31
  5. Step 5: Solve for x
    x = 2,432,541.31/1,645.84
  6. Step 6: Final answer
    x = 1,477.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.