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Finding the Fourth Proportional to 1,873.58, 2,810.36 and 703.53

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Solution

The fourth proportional to 1,873.58, 2,810.36 and 703.53 is: 1,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.58 : 2,810.36 = 703.53 : x
  2. Step 2: Convert to fraction form
    1,873.58/2,810.36 = 703.53/x
  3. Step 3: Cross multiply
    1,873.58x = 2,810.36 × 703.53
  4. Step 4: Simplify right side
    1,873.58x = 1,977,169.05
  5. Step 5: Solve for x
    x = 1,977,169.05/1,873.58
  6. Step 6: Final answer
    x = 1,055.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.