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Finding the Fourth Proportional to 2,154.74, 2,973.64 and 1,259.06

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Solution

The fourth proportional to 2,154.74, 2,973.64 and 1,259.06 is: 1,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.74 : 2,973.64 = 1,259.06 : x
  2. Step 2: Convert to fraction form
    2,154.74/2,973.64 = 1,259.06/x
  3. Step 3: Cross multiply
    2,154.74x = 2,973.64 × 1,259.06
  4. Step 4: Simplify right side
    2,154.74x = 3,743,994.98
  5. Step 5: Solve for x
    x = 3,743,994.98/2,154.74
  6. Step 6: Final answer
    x = 1,737.57

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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.