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Finding the Fourth Proportional to 1,430.44, 1,973.06 and 1,202.76

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Solution

The fourth proportional to 1,430.44, 1,973.06 and 1,202.76 is: 1,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.44 : 1,973.06 = 1,202.76 : x
  2. Step 2: Convert to fraction form
    1,430.44/1,973.06 = 1,202.76/x
  3. Step 3: Cross multiply
    1,430.44x = 1,973.06 × 1,202.76
  4. Step 4: Simplify right side
    1,430.44x = 2,373,117.65
  5. Step 5: Solve for x
    x = 2,373,117.65/1,430.44
  6. Step 6: Final answer
    x = 1,659.01

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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.