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Finding the Fourth Proportional to 1,669.72, 2,303.10 and 1,005.88

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Solution

The fourth proportional to 1,669.72, 2,303.10 and 1,005.88 is: 1,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.72 : 2,303.10 = 1,005.88 : x
  2. Step 2: Convert to fraction form
    1,669.72/2,303.10 = 1,005.88/x
  3. Step 3: Cross multiply
    1,669.72x = 2,303.10 × 1,005.88
  4. Step 4: Simplify right side
    1,669.72x = 2,316,642.23
  5. Step 5: Solve for x
    x = 2,316,642.23/1,669.72
  6. Step 6: Final answer
    x = 1,387.44

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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.