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Finding the Fourth Proportional to 1,523.90, 2,103.20 and 1,430.08

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Solution

The fourth proportional to 1,523.90, 2,103.20 and 1,430.08 is: 1,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.90 : 2,103.20 = 1,430.08 : x
  2. Step 2: Convert to fraction form
    1,523.90/2,103.20 = 1,430.08/x
  3. Step 3: Cross multiply
    1,523.90x = 2,103.20 × 1,430.08
  4. Step 4: Simplify right side
    1,523.90x = 3,007,744.26
  5. Step 5: Solve for x
    x = 3,007,744.26/1,523.90
  6. Step 6: Final answer
    x = 1,973.71

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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.