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Finding the Fourth Proportional to 1,430.83, 1,972.81 and 1,111.89

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Solution

The fourth proportional to 1,430.83, 1,972.81 and 1,111.89 is: 1,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.83 : 1,972.81 = 1,111.89 : x
  2. Step 2: Convert to fraction form
    1,430.83/1,972.81 = 1,111.89/x
  3. Step 3: Cross multiply
    1,430.83x = 1,972.81 × 1,111.89
  4. Step 4: Simplify right side
    1,430.83x = 2,193,556.50
  5. Step 5: Solve for x
    x = 2,193,556.50/1,430.83
  6. Step 6: Final answer
    x = 1,533.06

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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.