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Finding the Fourth Proportional to 1,430.01, 1,972.80 and 1,057.86

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Solution

The fourth proportional to 1,430.01, 1,972.80 and 1,057.86 is: 1,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.01 : 1,972.80 = 1,057.86 : x
  2. Step 2: Convert to fraction form
    1,430.01/1,972.80 = 1,057.86/x
  3. Step 3: Cross multiply
    1,430.01x = 1,972.80 × 1,057.86
  4. Step 4: Simplify right side
    1,430.01x = 2,086,946.21
  5. Step 5: Solve for x
    x = 2,086,946.21/1,430.01
  6. Step 6: Final answer
    x = 1,459.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.