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Finding the Fourth Proportional to 4,602.88, 6,903.16 and 1,315.99

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Solution

The fourth proportional to 4,602.88, 6,903.16 and 1,315.99 is: 1,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.88 : 6,903.16 = 1,315.99 : x
  2. Step 2: Convert to fraction form
    4,602.88/6,903.16 = 1,315.99/x
  3. Step 3: Cross multiply
    4,602.88x = 6,903.16 × 1,315.99
  4. Step 4: Simplify right side
    4,602.88x = 9,084,489.53
  5. Step 5: Solve for x
    x = 9,084,489.53/4,602.88
  6. Step 6: Final answer
    x = 1,973.65

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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.