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Finding the Fourth Proportional to 1,430.58, 2,147.70 and 1,200.90

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Solution

The fourth proportional to 1,430.58, 2,147.70 and 1,200.90 is: 1,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.58 : 2,147.70 = 1,200.90 : x
  2. Step 2: Convert to fraction form
    1,430.58/2,147.70 = 1,200.90/x
  3. Step 3: Cross multiply
    1,430.58x = 2,147.70 × 1,200.90
  4. Step 4: Simplify right side
    1,430.58x = 2,579,172.93
  5. Step 5: Solve for x
    x = 2,579,172.93/1,430.58
  6. Step 6: Final answer
    x = 1,802.89

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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.