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Finding the Fourth Proportional to 1,695.70, 2,334.87 and 1,484.70

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Solution

The fourth proportional to 1,695.70, 2,334.87 and 1,484.70 is: 2,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.70 : 2,334.87 = 1,484.70 : x
  2. Step 2: Convert to fraction form
    1,695.70/2,334.87 = 1,484.70/x
  3. Step 3: Cross multiply
    1,695.70x = 2,334.87 × 1,484.70
  4. Step 4: Simplify right side
    1,695.70x = 3,466,581.49
  5. Step 5: Solve for x
    x = 3,466,581.49/1,695.70
  6. Step 6: Final answer
    x = 2,044.34

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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.