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Finding the Fourth Proportional to 4,705.84, 7,059.06 and 1,243

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Solution

The fourth proportional to 4,705.84, 7,059.06 and 1,243 is: 1,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.84 : 7,059.06 = 1,243 : x
  2. Step 2: Convert to fraction form
    4,705.84/7,059.06 = 1,243/x
  3. Step 3: Cross multiply
    4,705.84x = 7,059.06 × 1,243
  4. Step 4: Simplify right side
    4,705.84x = 8,774,411.58
  5. Step 5: Solve for x
    x = 8,774,411.58/4,705.84
  6. Step 6: Final answer
    x = 1,864.58

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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.