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Finding the Fourth Proportional to 4,602.82, 6,904.32 and 1,316.02

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Solution

The fourth proportional to 4,602.82, 6,904.32 and 1,316.02 is: 1,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.82 : 6,904.32 = 1,316.02 : x
  2. Step 2: Convert to fraction form
    4,602.82/6,904.32 = 1,316.02/x
  3. Step 3: Cross multiply
    4,602.82x = 6,904.32 × 1,316.02
  4. Step 4: Simplify right side
    4,602.82x = 9,086,223.21
  5. Step 5: Solve for x
    x = 9,086,223.21/4,602.82
  6. Step 6: Final answer
    x = 1,974.06

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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.