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Finding the Fourth Proportional to 4,702.55, 7,051.56 and 1,739

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Solution

The fourth proportional to 4,702.55, 7,051.56 and 1,739 is: 2,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.55 : 7,051.56 = 1,739 : x
  2. Step 2: Convert to fraction form
    4,702.55/7,051.56 = 1,739/x
  3. Step 3: Cross multiply
    4,702.55x = 7,051.56 × 1,739
  4. Step 4: Simplify right side
    4,702.55x = 12,262,662.84
  5. Step 5: Solve for x
    x = 12,262,662.84/4,702.55
  6. Step 6: Final answer
    x = 2,607.66

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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.