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Finding the Fourth Proportional to 1,881.98, 2,590.32 and 1,734.35

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Solution

The fourth proportional to 1,881.98, 2,590.32 and 1,734.35 is: 2,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.98 : 2,590.32 = 1,734.35 : x
  2. Step 2: Convert to fraction form
    1,881.98/2,590.32 = 1,734.35/x
  3. Step 3: Cross multiply
    1,881.98x = 2,590.32 × 1,734.35
  4. Step 4: Simplify right side
    1,881.98x = 4,492,521.49
  5. Step 5: Solve for x
    x = 4,492,521.49/1,881.98
  6. Step 6: Final answer
    x = 2,387.12

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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.