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Finding the Fourth Proportional to 1,876.51, 2,812.87 and 902.08

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Solution

The fourth proportional to 1,876.51, 2,812.87 and 902.08 is: 1,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.51 : 2,812.87 = 902.08 : x
  2. Step 2: Convert to fraction form
    1,876.51/2,812.87 = 902.08/x
  3. Step 3: Cross multiply
    1,876.51x = 2,812.87 × 902.08
  4. Step 4: Simplify right side
    1,876.51x = 2,537,427.87
  5. Step 5: Solve for x
    x = 2,537,427.87/1,876.51
  6. Step 6: Final answer
    x = 1,352.21

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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.