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Finding the Fourth Proportional to 2,301.52, 3,176.10 and 1,417.12

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Solution

The fourth proportional to 2,301.52, 3,176.10 and 1,417.12 is: 1,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.52 : 3,176.10 = 1,417.12 : x
  2. Step 2: Convert to fraction form
    2,301.52/3,176.10 = 1,417.12/x
  3. Step 3: Cross multiply
    2,301.52x = 3,176.10 × 1,417.12
  4. Step 4: Simplify right side
    2,301.52x = 4,500,914.83
  5. Step 5: Solve for x
    x = 4,500,914.83/2,301.52
  6. Step 6: Final answer
    x = 1,955.63

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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.