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Finding the Fourth Proportional to 2,458.96, 3,688.34 and 610.03

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Solution

The fourth proportional to 2,458.96, 3,688.34 and 610.03 is: 915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.96 : 3,688.34 = 610.03 : x
  2. Step 2: Convert to fraction form
    2,458.96/3,688.34 = 610.03/x
  3. Step 3: Cross multiply
    2,458.96x = 3,688.34 × 610.03
  4. Step 4: Simplify right side
    2,458.96x = 2,249,999.61
  5. Step 5: Solve for x
    x = 2,249,999.61/2,458.96
  6. Step 6: Final answer
    x = 915.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.