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Finding the Fourth Proportional to 1,705.35, 2,558.06 and 1,124.07

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Solution

The fourth proportional to 1,705.35, 2,558.06 and 1,124.07 is: 1,686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.35 : 2,558.06 = 1,124.07 : x
  2. Step 2: Convert to fraction form
    1,705.35/2,558.06 = 1,124.07/x
  3. Step 3: Cross multiply
    1,705.35x = 2,558.06 × 1,124.07
  4. Step 4: Simplify right side
    1,705.35x = 2,875,432.88
  5. Step 5: Solve for x
    x = 2,875,432.88/1,705.35
  6. Step 6: Final answer
    x = 1,686.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.