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Finding the Fourth Proportional to 2,130.06, 2,943.63 and 1,730.94

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Solution

The fourth proportional to 2,130.06, 2,943.63 and 1,730.94 is: 2,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.06 : 2,943.63 = 1,730.94 : x
  2. Step 2: Convert to fraction form
    2,130.06/2,943.63 = 1,730.94/x
  3. Step 3: Cross multiply
    2,130.06x = 2,943.63 × 1,730.94
  4. Step 4: Simplify right side
    2,130.06x = 5,095,246.91
  5. Step 5: Solve for x
    x = 5,095,246.91/2,130.06
  6. Step 6: Final answer
    x = 2,392.07

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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.