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Finding the Fourth Proportional to 1,875.35, 2,810.43 and 704.16

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Solution

The fourth proportional to 1,875.35, 2,810.43 and 704.16 is: 1,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.35 : 2,810.43 = 704.16 : x
  2. Step 2: Convert to fraction form
    1,875.35/2,810.43 = 704.16/x
  3. Step 3: Cross multiply
    1,875.35x = 2,810.43 × 704.16
  4. Step 4: Simplify right side
    1,875.35x = 1,978,992.39
  5. Step 5: Solve for x
    x = 1,978,992.39/1,875.35
  6. Step 6: Final answer
    x = 1,055.26

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