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Finding the Fourth Proportional to 2,810.54, 4,206.54 and 2,502.99

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Solution

The fourth proportional to 2,810.54, 4,206.54 and 2,502.99 is: 3,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.54 : 4,206.54 = 2,502.99 : x
  2. Step 2: Convert to fraction form
    2,810.54/4,206.54 = 2,502.99/x
  3. Step 3: Cross multiply
    2,810.54x = 4,206.54 × 2,502.99
  4. Step 4: Simplify right side
    2,810.54x = 10,528,927.55
  5. Step 5: Solve for x
    x = 10,528,927.55/2,810.54
  6. Step 6: Final answer
    x = 3,746.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.