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Finding the Fourth Proportional to 1,405.68, 2,103.66 and 1,038.48

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Solution

The fourth proportional to 1,405.68, 2,103.66 and 1,038.48 is: 1,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.68 : 2,103.66 = 1,038.48 : x
  2. Step 2: Convert to fraction form
    1,405.68/2,103.66 = 1,038.48/x
  3. Step 3: Cross multiply
    1,405.68x = 2,103.66 × 1,038.48
  4. Step 4: Simplify right side
    1,405.68x = 2,184,608.84
  5. Step 5: Solve for x
    x = 2,184,608.84/1,405.68
  6. Step 6: Final answer
    x = 1,554.13

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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.