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Finding the Fourth Proportional to 2,130.65, 2,940.53 and 1,246.40

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Solution

The fourth proportional to 2,130.65, 2,940.53 and 1,246.40 is: 1,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.65 : 2,940.53 = 1,246.40 : x
  2. Step 2: Convert to fraction form
    2,130.65/2,940.53 = 1,246.40/x
  3. Step 3: Cross multiply
    2,130.65x = 2,940.53 × 1,246.40
  4. Step 4: Simplify right side
    2,130.65x = 3,665,070.36
  5. Step 5: Solve for x
    x = 3,665,070.36/2,130.65
  6. Step 6: Final answer
    x = 1,720.17

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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.