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Finding the Fourth Proportional to 4,602.51, 6,904.00 and 1,316.09

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Solution

The fourth proportional to 4,602.51, 6,904.00 and 1,316.09 is: 1,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.51 : 6,904.00 = 1,316.09 : x
  2. Step 2: Convert to fraction form
    4,602.51/6,904.00 = 1,316.09/x
  3. Step 3: Cross multiply
    4,602.51x = 6,904.00 × 1,316.09
  4. Step 4: Simplify right side
    4,602.51x = 9,086,258.03
  5. Step 5: Solve for x
    x = 9,086,258.03/4,602.51
  6. Step 6: Final answer
    x = 1,974.20

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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.