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Finding the Fourth Proportional to 3,071.98, 4,239.66 and 1,746.01

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Solution

The fourth proportional to 3,071.98, 4,239.66 and 1,746.01 is: 2,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.98 : 4,239.66 = 1,746.01 : x
  2. Step 2: Convert to fraction form
    3,071.98/4,239.66 = 1,746.01/x
  3. Step 3: Cross multiply
    3,071.98x = 4,239.66 × 1,746.01
  4. Step 4: Simplify right side
    3,071.98x = 7,402,488.76
  5. Step 5: Solve for x
    x = 7,402,488.76/3,071.98
  6. Step 6: Final answer
    x = 2,409.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.