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Finding the Fourth Proportional to 2,419.84, 3,625.40 and 1,688

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Solution

The fourth proportional to 2,419.84, 3,625.40 and 1,688 is: 2,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.84 : 3,625.40 = 1,688 : x
  2. Step 2: Convert to fraction form
    2,419.84/3,625.40 = 1,688/x
  3. Step 3: Cross multiply
    2,419.84x = 3,625.40 × 1,688
  4. Step 4: Simplify right side
    2,419.84x = 6,119,675.20
  5. Step 5: Solve for x
    x = 6,119,675.20/2,419.84
  6. Step 6: Final answer
    x = 2,528.96

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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.