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Finding the Fourth Proportional to 4,602.56, 6,904.94 and 1,315.67

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Solution

The fourth proportional to 4,602.56, 6,904.94 and 1,315.67 is: 1,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.56 : 6,904.94 = 1,315.67 : x
  2. Step 2: Convert to fraction form
    4,602.56/6,904.94 = 1,315.67/x
  3. Step 3: Cross multiply
    4,602.56x = 6,904.94 × 1,315.67
  4. Step 4: Simplify right side
    4,602.56x = 9,084,581.31
  5. Step 5: Solve for x
    x = 9,084,581.31/4,602.56
  6. Step 6: Final answer
    x = 1,973.81

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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.