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Finding the Fourth Proportional to 2,301.68, 3,176.40 and 1,307

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Solution

The fourth proportional to 2,301.68, 3,176.40 and 1,307 is: 1,803.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.68 : 3,176.40 = 1,307 : x
  2. Step 2: Convert to fraction form
    2,301.68/3,176.40 = 1,307/x
  3. Step 3: Cross multiply
    2,301.68x = 3,176.40 × 1,307
  4. Step 4: Simplify right side
    2,301.68x = 4,151,554.80
  5. Step 5: Solve for x
    x = 4,151,554.80/2,301.68
  6. Step 6: Final answer
    x = 1,803.71

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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.