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Finding the Fourth Proportional to 1,430.05, 1,972.74 and 933.52

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Solution

The fourth proportional to 1,430.05, 1,972.74 and 933.52 is: 1,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.05 : 1,972.74 = 933.52 : x
  2. Step 2: Convert to fraction form
    1,430.05/1,972.74 = 933.52/x
  3. Step 3: Cross multiply
    1,430.05x = 1,972.74 × 933.52
  4. Step 4: Simplify right side
    1,430.05x = 1,841,592.24
  5. Step 5: Solve for x
    x = 1,841,592.24/1,430.05
  6. Step 6: Final answer
    x = 1,287.78

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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.