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Finding the Fourth Proportional to 2,393.14, 3,303.06 and 1,510.14

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Solution

The fourth proportional to 2,393.14, 3,303.06 and 1,510.14 is: 2,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.14 : 3,303.06 = 1,510.14 : x
  2. Step 2: Convert to fraction form
    2,393.14/3,303.06 = 1,510.14/x
  3. Step 3: Cross multiply
    2,393.14x = 3,303.06 × 1,510.14
  4. Step 4: Simplify right side
    2,393.14x = 4,988,083.03
  5. Step 5: Solve for x
    x = 4,988,083.03/2,393.14
  6. Step 6: Final answer
    x = 2,084.33

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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.