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Finding the Fourth Proportional to 1,714.90, 2,370.45 and 1,578.82

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Solution

The fourth proportional to 1,714.90, 2,370.45 and 1,578.82 is: 2,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.90 : 2,370.45 = 1,578.82 : x
  2. Step 2: Convert to fraction form
    1,714.90/2,370.45 = 1,578.82/x
  3. Step 3: Cross multiply
    1,714.90x = 2,370.45 × 1,578.82
  4. Step 4: Simplify right side
    1,714.90x = 3,742,513.87
  5. Step 5: Solve for x
    x = 3,742,513.87/1,714.90
  6. Step 6: Final answer
    x = 2,182.35

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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.