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Finding the Fourth Proportional to 1,430.34, 2,143.08 and 971.07

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Solution

The fourth proportional to 1,430.34, 2,143.08 and 971.07 is: 1,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.34 : 2,143.08 = 971.07 : x
  2. Step 2: Convert to fraction form
    1,430.34/2,143.08 = 971.07/x
  3. Step 3: Cross multiply
    1,430.34x = 2,143.08 × 971.07
  4. Step 4: Simplify right side
    1,430.34x = 2,081,080.70
  5. Step 5: Solve for x
    x = 2,081,080.70/1,430.34
  6. Step 6: Final answer
    x = 1,454.96

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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.