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Finding the Fourth Proportional to 2,314.80, 3,191.13 and 1,430.10

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Solution

The fourth proportional to 2,314.80, 3,191.13 and 1,430.10 is: 1,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.80 : 3,191.13 = 1,430.10 : x
  2. Step 2: Convert to fraction form
    2,314.80/3,191.13 = 1,430.10/x
  3. Step 3: Cross multiply
    2,314.80x = 3,191.13 × 1,430.10
  4. Step 4: Simplify right side
    2,314.80x = 4,563,635.01
  5. Step 5: Solve for x
    x = 4,563,635.01/2,314.80
  6. Step 6: Final answer
    x = 1,971.50

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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.