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Finding the Fourth Proportional to 2,503.16, 3,454.40 and 1,384.08

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Solution

The fourth proportional to 2,503.16, 3,454.40 and 1,384.08 is: 1,910.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503.16 : 3,454.40 = 1,384.08 : x
  2. Step 2: Convert to fraction form
    2,503.16/3,454.40 = 1,384.08/x
  3. Step 3: Cross multiply
    2,503.16x = 3,454.40 × 1,384.08
  4. Step 4: Simplify right side
    2,503.16x = 4,781,165.95
  5. Step 5: Solve for x
    x = 4,781,165.95/2,503.16
  6. Step 6: Final answer
    x = 1,910.05

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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.