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Finding the Fourth Proportional to 2,478.89, 3,420.84 and 1,430.93

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Solution

The fourth proportional to 2,478.89, 3,420.84 and 1,430.93 is: 1,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.89 : 3,420.84 = 1,430.93 : x
  2. Step 2: Convert to fraction form
    2,478.89/3,420.84 = 1,430.93/x
  3. Step 3: Cross multiply
    2,478.89x = 3,420.84 × 1,430.93
  4. Step 4: Simplify right side
    2,478.89x = 4,894,982.58
  5. Step 5: Solve for x
    x = 4,894,982.58/2,478.89
  6. Step 6: Final answer
    x = 1,974.67

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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.