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Finding the Fourth Proportional to 1,751.10, 2,416.56 and 1,005.45

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Solution

The fourth proportional to 1,751.10, 2,416.56 and 1,005.45 is: 1,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.10 : 2,416.56 = 1,005.45 : x
  2. Step 2: Convert to fraction form
    1,751.10/2,416.56 = 1,005.45/x
  3. Step 3: Cross multiply
    1,751.10x = 2,416.56 × 1,005.45
  4. Step 4: Simplify right side
    1,751.10x = 2,429,730.25
  5. Step 5: Solve for x
    x = 2,429,730.25/1,751.10
  6. Step 6: Final answer
    x = 1,387.55

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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.