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Finding the Fourth Proportional to 1,702.01, 2,348.79 and 945.84

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Solution

The fourth proportional to 1,702.01, 2,348.79 and 945.84 is: 1,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.01 : 2,348.79 = 945.84 : x
  2. Step 2: Convert to fraction form
    1,702.01/2,348.79 = 945.84/x
  3. Step 3: Cross multiply
    1,702.01x = 2,348.79 × 945.84
  4. Step 4: Simplify right side
    1,702.01x = 2,221,579.53
  5. Step 5: Solve for x
    x = 2,221,579.53/1,702.01
  6. Step 6: Final answer
    x = 1,305.27

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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.