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Finding the Fourth Proportional to 1,443.03, 1,973.70 and 1,420.35

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Solution

The fourth proportional to 1,443.03, 1,973.70 and 1,420.35 is: 1,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.03 : 1,973.70 = 1,420.35 : x
  2. Step 2: Convert to fraction form
    1,443.03/1,973.70 = 1,420.35/x
  3. Step 3: Cross multiply
    1,443.03x = 1,973.70 × 1,420.35
  4. Step 4: Simplify right side
    1,443.03x = 2,803,344.80
  5. Step 5: Solve for x
    x = 2,803,344.80/1,443.03
  6. Step 6: Final answer
    x = 1,942.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.