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Finding the Fourth Proportional to 1,315.17, 1,812.78 and 921.51

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Solution

The fourth proportional to 1,315.17, 1,812.78 and 921.51 is: 1,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.17 : 1,812.78 = 921.51 : x
  2. Step 2: Convert to fraction form
    1,315.17/1,812.78 = 921.51/x
  3. Step 3: Cross multiply
    1,315.17x = 1,812.78 × 921.51
  4. Step 4: Simplify right side
    1,315.17x = 1,670,494.90
  5. Step 5: Solve for x
    x = 1,670,494.90/1,315.17
  6. Step 6: Final answer
    x = 1,270.17

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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.