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Finding the Fourth Proportional to 1,404.60, 2,095.23 and 1,242.60

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Solution

The fourth proportional to 1,404.60, 2,095.23 and 1,242.60 is: 1,853.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.60 : 2,095.23 = 1,242.60 : x
  2. Step 2: Convert to fraction form
    1,404.60/2,095.23 = 1,242.60/x
  3. Step 3: Cross multiply
    1,404.60x = 2,095.23 × 1,242.60
  4. Step 4: Simplify right side
    1,404.60x = 2,603,532.80
  5. Step 5: Solve for x
    x = 2,603,532.80/1,404.60
  6. Step 6: Final answer
    x = 1,853.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.