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Finding the Fourth Proportional to 1,702.23, 2,551.86 and 661.52

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Solution

The fourth proportional to 1,702.23, 2,551.86 and 661.52 is: 991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.23 : 2,551.86 = 661.52 : x
  2. Step 2: Convert to fraction form
    1,702.23/2,551.86 = 661.52/x
  3. Step 3: Cross multiply
    1,702.23x = 2,551.86 × 661.52
  4. Step 4: Simplify right side
    1,702.23x = 1,688,093.67
  5. Step 5: Solve for x
    x = 1,688,093.67/1,702.23
  6. Step 6: Final answer
    x = 991.70

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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.