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Finding the Fourth Proportional to 2,599.35, 3,587.18 and 1,420.46

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Solution

The fourth proportional to 2,599.35, 3,587.18 and 1,420.46 is: 1,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.35 : 3,587.18 = 1,420.46 : x
  2. Step 2: Convert to fraction form
    2,599.35/3,587.18 = 1,420.46/x
  3. Step 3: Cross multiply
    2,599.35x = 3,587.18 × 1,420.46
  4. Step 4: Simplify right side
    2,599.35x = 5,095,445.70
  5. Step 5: Solve for x
    x = 5,095,445.70/2,599.35
  6. Step 6: Final answer
    x = 1,960.28

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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.