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Finding the Fourth Proportional to 4,688, 7,032.36 and 1,610

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Solution

The fourth proportional to 4,688, 7,032.36 and 1,610 is: 2,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688 : 7,032.36 = 1,610 : x
  2. Step 2: Convert to fraction form
    4,688/7,032.36 = 1,610/x
  3. Step 3: Cross multiply
    4,688x = 7,032.36 × 1,610
  4. Step 4: Simplify right side
    4,688x = 11,322,099.60
  5. Step 5: Solve for x
    x = 11,322,099.60/4,688
  6. Step 6: Final answer
    x = 2,415.12

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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.