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Finding the Fourth Proportional to 1,430.87, 1,973.97 and 1,011.15

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Solution

The fourth proportional to 1,430.87, 1,973.97 and 1,011.15 is: 1,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.87 : 1,973.97 = 1,011.15 : x
  2. Step 2: Convert to fraction form
    1,430.87/1,973.97 = 1,011.15/x
  3. Step 3: Cross multiply
    1,430.87x = 1,973.97 × 1,011.15
  4. Step 4: Simplify right side
    1,430.87x = 1,995,979.77
  5. Step 5: Solve for x
    x = 1,995,979.77/1,430.87
  6. Step 6: Final answer
    x = 1,394.94

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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.