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Finding the Fourth Proportional to 1,314.05, 1,971.15 and 340.15

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Solution

The fourth proportional to 1,314.05, 1,971.15 and 340.15 is: 510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.05 : 1,971.15 = 340.15 : x
  2. Step 2: Convert to fraction form
    1,314.05/1,971.15 = 340.15/x
  3. Step 3: Cross multiply
    1,314.05x = 1,971.15 × 340.15
  4. Step 4: Simplify right side
    1,314.05x = 670,486.67
  5. Step 5: Solve for x
    x = 670,486.67/1,314.05
  6. Step 6: Final answer
    x = 510.24

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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.