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Finding the Fourth Proportional to 1,703.07, 2,554.58 and 1,009.23

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Solution

The fourth proportional to 1,703.07, 2,554.58 and 1,009.23 is: 1,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.07 : 2,554.58 = 1,009.23 : x
  2. Step 2: Convert to fraction form
    1,703.07/2,554.58 = 1,009.23/x
  3. Step 3: Cross multiply
    1,703.07x = 2,554.58 × 1,009.23
  4. Step 4: Simplify right side
    1,703.07x = 2,578,169.61
  5. Step 5: Solve for x
    x = 2,578,169.61/1,703.07
  6. Step 6: Final answer
    x = 1,513.84

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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.