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Finding the Fourth Proportional to 1,430.98, 1,974.09 and 1,011.34

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Solution

The fourth proportional to 1,430.98, 1,974.09 and 1,011.34 is: 1,395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.98 : 1,974.09 = 1,011.34 : x
  2. Step 2: Convert to fraction form
    1,430.98/1,974.09 = 1,011.34/x
  3. Step 3: Cross multiply
    1,430.98x = 1,974.09 × 1,011.34
  4. Step 4: Simplify right side
    1,430.98x = 1,996,476.18
  5. Step 5: Solve for x
    x = 1,996,476.18/1,430.98
  6. Step 6: Final answer
    x = 1,395.18

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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.