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Finding the Fourth Proportional to 1,702.00, 2,347.04 and 1,602.79

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Solution

The fourth proportional to 1,702.00, 2,347.04 and 1,602.79 is: 2,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.00 : 2,347.04 = 1,602.79 : x
  2. Step 2: Convert to fraction form
    1,702.00/2,347.04 = 1,602.79/x
  3. Step 3: Cross multiply
    1,702.00x = 2,347.04 × 1,602.79
  4. Step 4: Simplify right side
    1,702.00x = 3,761,798.36
  5. Step 5: Solve for x
    x = 3,761,798.36/1,702.00
  6. Step 6: Final answer
    x = 2,210.22

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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.