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Finding the Fourth Proportional to 4,602.32, 6,904.64 and 1,315.69

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Solution

The fourth proportional to 4,602.32, 6,904.64 and 1,315.69 is: 1,973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.32 : 6,904.64 = 1,315.69 : x
  2. Step 2: Convert to fraction form
    4,602.32/6,904.64 = 1,315.69/x
  3. Step 3: Cross multiply
    4,602.32x = 6,904.64 × 1,315.69
  4. Step 4: Simplify right side
    4,602.32x = 9,084,390.67
  5. Step 5: Solve for x
    x = 9,084,390.67/4,602.32
  6. Step 6: Final answer
    x = 1,973.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.