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Finding the Fourth Proportional to 2,361, 3,257.40 and 1,477.32

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Solution

The fourth proportional to 2,361, 3,257.40 and 1,477.32 is: 2,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361 : 3,257.40 = 1,477.32 : x
  2. Step 2: Convert to fraction form
    2,361/3,257.40 = 1,477.32/x
  3. Step 3: Cross multiply
    2,361x = 3,257.40 × 1,477.32
  4. Step 4: Simplify right side
    2,361x = 4,812,222.17
  5. Step 5: Solve for x
    x = 4,812,222.17/2,361
  6. Step 6: Final answer
    x = 2,038.21

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1.5x scale

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.