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Finding the Fourth Proportional to 1,440.07, 1,987.61 and 941.89

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Solution

The fourth proportional to 1,440.07, 1,987.61 and 941.89 is: 1,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.07 : 1,987.61 = 941.89 : x
  2. Step 2: Convert to fraction form
    1,440.07/1,987.61 = 941.89/x
  3. Step 3: Cross multiply
    1,440.07x = 1,987.61 × 941.89
  4. Step 4: Simplify right side
    1,440.07x = 1,872,109.98
  5. Step 5: Solve for x
    x = 1,872,109.98/1,440.07
  6. Step 6: Final answer
    x = 1,300.01

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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.