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Finding the Fourth Proportional to 1,670.19, 2,303.36 and 1,071.99

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Solution

The fourth proportional to 1,670.19, 2,303.36 and 1,071.99 is: 1,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.19 : 2,303.36 = 1,071.99 : x
  2. Step 2: Convert to fraction form
    1,670.19/2,303.36 = 1,071.99/x
  3. Step 3: Cross multiply
    1,670.19x = 2,303.36 × 1,071.99
  4. Step 4: Simplify right side
    1,670.19x = 2,469,173.53
  5. Step 5: Solve for x
    x = 2,469,173.53/1,670.19
  6. Step 6: Final answer
    x = 1,478.38

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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.