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Finding the Fourth Proportional to 3,264.15, 4,897.05 and 924.17

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Solution

The fourth proportional to 3,264.15, 4,897.05 and 924.17 is: 1,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.15 : 4,897.05 = 924.17 : x
  2. Step 2: Convert to fraction form
    3,264.15/4,897.05 = 924.17/x
  3. Step 3: Cross multiply
    3,264.15x = 4,897.05 × 924.17
  4. Step 4: Simplify right side
    3,264.15x = 4,525,682.21
  5. Step 5: Solve for x
    x = 4,525,682.21/3,264.15
  6. Step 6: Final answer
    x = 1,386.48

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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.