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Finding the Fourth Proportional to 1,421.30, 1,985.50 and 1,421.30

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Solution

The fourth proportional to 1,421.30, 1,985.50 and 1,421.30 is: 1,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.30 : 1,985.50 = 1,421.30 : x
  2. Step 2: Convert to fraction form
    1,421.30/1,985.50 = 1,421.30/x
  3. Step 3: Cross multiply
    1,421.30x = 1,985.50 × 1,421.30
  4. Step 4: Simplify right side
    1,421.30x = 2,821,991.15
  5. Step 5: Solve for x
    x = 2,821,991.15/1,421.30
  6. Step 6: Final answer
    x = 1,985.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.