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Finding the Fourth Proportional to 1,499.69, 2,071.00 and 1,417.88

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Solution

The fourth proportional to 1,499.69, 2,071.00 and 1,417.88 is: 1,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.69 : 2,071.00 = 1,417.88 : x
  2. Step 2: Convert to fraction form
    1,499.69/2,071.00 = 1,417.88/x
  3. Step 3: Cross multiply
    1,499.69x = 2,071.00 × 1,417.88
  4. Step 4: Simplify right side
    1,499.69x = 2,936,436.43
  5. Step 5: Solve for x
    x = 2,936,436.43/1,499.69
  6. Step 6: Final answer
    x = 1,958.03

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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.