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Finding the Fourth Proportional to 1,430.81, 2,146.22 and 700.19

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Solution

The fourth proportional to 1,430.81, 2,146.22 and 700.19 is: 1,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.81 : 2,146.22 = 700.19 : x
  2. Step 2: Convert to fraction form
    1,430.81/2,146.22 = 700.19/x
  3. Step 3: Cross multiply
    1,430.81x = 2,146.22 × 700.19
  4. Step 4: Simplify right side
    1,430.81x = 1,502,761.78
  5. Step 5: Solve for x
    x = 1,502,761.78/1,430.81
  6. Step 6: Final answer
    x = 1,050.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.