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Finding the Fourth Proportional to 1,705.48, 2,353.62 and 1,006.84

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Solution

The fourth proportional to 1,705.48, 2,353.62 and 1,006.84 is: 1,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.48 : 2,353.62 = 1,006.84 : x
  2. Step 2: Convert to fraction form
    1,705.48/2,353.62 = 1,006.84/x
  3. Step 3: Cross multiply
    1,705.48x = 2,353.62 × 1,006.84
  4. Step 4: Simplify right side
    1,705.48x = 2,369,718.76
  5. Step 5: Solve for x
    x = 2,369,718.76/1,705.48
  6. Step 6: Final answer
    x = 1,389.47

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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.