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Finding the Fourth Proportional to 2,307.63, 3,184.61 and 1,312.88

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Solution

The fourth proportional to 2,307.63, 3,184.61 and 1,312.88 is: 1,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.63 : 3,184.61 = 1,312.88 : x
  2. Step 2: Convert to fraction form
    2,307.63/3,184.61 = 1,312.88/x
  3. Step 3: Cross multiply
    2,307.63x = 3,184.61 × 1,312.88
  4. Step 4: Simplify right side
    2,307.63x = 4,181,012.17
  5. Step 5: Solve for x
    x = 4,181,012.17/2,307.63
  6. Step 6: Final answer
    x = 1,811.82

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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.