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Finding the Fourth Proportional to 2,103.13, 2,903.00 and 1,356.51

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Solution

The fourth proportional to 2,103.13, 2,903.00 and 1,356.51 is: 1,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.13 : 2,903.00 = 1,356.51 : x
  2. Step 2: Convert to fraction form
    2,103.13/2,903.00 = 1,356.51/x
  3. Step 3: Cross multiply
    2,103.13x = 2,903.00 × 1,356.51
  4. Step 4: Simplify right side
    2,103.13x = 3,937,941.34
  5. Step 5: Solve for x
    x = 3,937,941.34/2,103.13
  6. Step 6: Final answer
    x = 1,872.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.