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Finding the Fourth Proportional to 1,955.98, 2,699.14 and 1,071.60

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Solution

The fourth proportional to 1,955.98, 2,699.14 and 1,071.60 is: 1,478.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.98 : 2,699.14 = 1,071.60 : x
  2. Step 2: Convert to fraction form
    1,955.98/2,699.14 = 1,071.60/x
  3. Step 3: Cross multiply
    1,955.98x = 2,699.14 × 1,071.60
  4. Step 4: Simplify right side
    1,955.98x = 2,892,402.49
  5. Step 5: Solve for x
    x = 2,892,402.49/1,955.98
  6. Step 6: Final answer
    x = 1,478.75

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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.