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Finding the Fourth Proportional to 2,478.42, 3,420.06 and 1,430.46

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Solution

The fourth proportional to 2,478.42, 3,420.06 and 1,430.46 is: 1,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.42 : 3,420.06 = 1,430.46 : x
  2. Step 2: Convert to fraction form
    2,478.42/3,420.06 = 1,430.46/x
  3. Step 3: Cross multiply
    2,478.42x = 3,420.06 × 1,430.46
  4. Step 4: Simplify right side
    2,478.42x = 4,892,259.03
  5. Step 5: Solve for x
    x = 4,892,259.03/2,478.42
  6. Step 6: Final answer
    x = 1,973.94

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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.