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Finding the Fourth Proportional to 2,411.83, 3,328.15 and 1,417.15

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Solution

The fourth proportional to 2,411.83, 3,328.15 and 1,417.15 is: 1,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.83 : 3,328.15 = 1,417.15 : x
  2. Step 2: Convert to fraction form
    2,411.83/3,328.15 = 1,417.15/x
  3. Step 3: Cross multiply
    2,411.83x = 3,328.15 × 1,417.15
  4. Step 4: Simplify right side
    2,411.83x = 4,716,487.77
  5. Step 5: Solve for x
    x = 4,716,487.77/2,411.83
  6. Step 6: Final answer
    x = 1,955.56

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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.