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Finding the Fourth Proportional to 2,361.48, 3,259.59 and 1,476.72

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Solution

The fourth proportional to 2,361.48, 3,259.59 and 1,476.72 is: 2,038.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.48 : 3,259.59 = 1,476.72 : x
  2. Step 2: Convert to fraction form
    2,361.48/3,259.59 = 1,476.72/x
  3. Step 3: Cross multiply
    2,361.48x = 3,259.59 × 1,476.72
  4. Step 4: Simplify right side
    2,361.48x = 4,813,501.74
  5. Step 5: Solve for x
    x = 4,813,501.74/2,361.48
  6. Step 6: Final answer
    x = 2,038.34

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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.