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Finding the Fourth Proportional to 1,407.74, 2,111.36 and 381.50

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Solution

The fourth proportional to 1,407.74, 2,111.36 and 381.50 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.74 : 2,111.36 = 381.50 : x
  2. Step 2: Convert to fraction form
    1,407.74/2,111.36 = 381.50/x
  3. Step 3: Cross multiply
    1,407.74x = 2,111.36 × 381.50
  4. Step 4: Simplify right side
    1,407.74x = 805,483.84
  5. Step 5: Solve for x
    x = 805,483.84/1,407.74
  6. Step 6: Final answer
    x = 572.18

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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.