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Finding the Fourth Proportional to 1,705.88, 2,354.19 and 1,117.55

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Solution

The fourth proportional to 1,705.88, 2,354.19 and 1,117.55 is: 1,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.88 : 2,354.19 = 1,117.55 : x
  2. Step 2: Convert to fraction form
    1,705.88/2,354.19 = 1,117.55/x
  3. Step 3: Cross multiply
    1,705.88x = 2,354.19 × 1,117.55
  4. Step 4: Simplify right side
    1,705.88x = 2,630,925.03
  5. Step 5: Solve for x
    x = 2,630,925.03/1,705.88
  6. Step 6: Final answer
    x = 1,542.27

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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.