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Finding the Fourth Proportional to 1,705.89, 2,353.45 and 1,146.72

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Solution

The fourth proportional to 1,705.89, 2,353.45 and 1,146.72 is: 1,582.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.89 : 2,353.45 = 1,146.72 : x
  2. Step 2: Convert to fraction form
    1,705.89/2,353.45 = 1,146.72/x
  3. Step 3: Cross multiply
    1,705.89x = 2,353.45 × 1,146.72
  4. Step 4: Simplify right side
    1,705.89x = 2,698,748.18
  5. Step 5: Solve for x
    x = 2,698,748.18/1,705.89
  6. Step 6: Final answer
    x = 1,582.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.