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Finding the Fourth Proportional to 1,680.90, 2,320.02 and 1,018.17

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Solution

The fourth proportional to 1,680.90, 2,320.02 and 1,018.17 is: 1,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.90 : 2,320.02 = 1,018.17 : x
  2. Step 2: Convert to fraction form
    1,680.90/2,320.02 = 1,018.17/x
  3. Step 3: Cross multiply
    1,680.90x = 2,320.02 × 1,018.17
  4. Step 4: Simplify right side
    1,680.90x = 2,362,174.76
  5. Step 5: Solve for x
    x = 2,362,174.76/1,680.90
  6. Step 6: Final answer
    x = 1,405.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.