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Finding the Fourth Proportional to 2,307.72, 3,461.58 and 1,008.84

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Solution

The fourth proportional to 2,307.72, 3,461.58 and 1,008.84 is: 1,513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.72 : 3,461.58 = 1,008.84 : x
  2. Step 2: Convert to fraction form
    2,307.72/3,461.58 = 1,008.84/x
  3. Step 3: Cross multiply
    2,307.72x = 3,461.58 × 1,008.84
  4. Step 4: Simplify right side
    2,307.72x = 3,492,180.37
  5. Step 5: Solve for x
    x = 3,492,180.37/2,307.72
  6. Step 6: Final answer
    x = 1,513.26

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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.