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Finding the Fourth Proportional to 1,315.32, 1,813.64 and 1,204.76

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Solution

The fourth proportional to 1,315.32, 1,813.64 and 1,204.76 is: 1,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.32 : 1,813.64 = 1,204.76 : x
  2. Step 2: Convert to fraction form
    1,315.32/1,813.64 = 1,204.76/x
  3. Step 3: Cross multiply
    1,315.32x = 1,813.64 × 1,204.76
  4. Step 4: Simplify right side
    1,315.32x = 2,184,985.83
  5. Step 5: Solve for x
    x = 2,184,985.83/1,315.32
  6. Step 6: Final answer
    x = 1,661.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.