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Finding the Fourth Proportional to 1,407.84, 1,943.01 and 1,057.92

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Solution

The fourth proportional to 1,407.84, 1,943.01 and 1,057.92 is: 1,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.84 : 1,943.01 = 1,057.92 : x
  2. Step 2: Convert to fraction form
    1,407.84/1,943.01 = 1,057.92/x
  3. Step 3: Cross multiply
    1,407.84x = 1,943.01 × 1,057.92
  4. Step 4: Simplify right side
    1,407.84x = 2,055,549.14
  5. Step 5: Solve for x
    x = 2,055,549.14/1,407.84
  6. Step 6: Final answer
    x = 1,460.07

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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.