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Finding the Fourth Proportional to 1,420.59, 2,130.66 and 1,008.48

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Solution

The fourth proportional to 1,420.59, 2,130.66 and 1,008.48 is: 1,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.59 : 2,130.66 = 1,008.48 : x
  2. Step 2: Convert to fraction form
    1,420.59/2,130.66 = 1,008.48/x
  3. Step 3: Cross multiply
    1,420.59x = 2,130.66 × 1,008.48
  4. Step 4: Simplify right side
    1,420.59x = 2,148,735.99
  5. Step 5: Solve for x
    x = 2,148,735.99/1,420.59
  6. Step 6: Final answer
    x = 1,512.56

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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.