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Finding the Fourth Proportional to 1,430.94, 1,973.43 and 965.82

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Solution

The fourth proportional to 1,430.94, 1,973.43 and 965.82 is: 1,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.94 : 1,973.43 = 965.82 : x
  2. Step 2: Convert to fraction form
    1,430.94/1,973.43 = 965.82/x
  3. Step 3: Cross multiply
    1,430.94x = 1,973.43 × 965.82
  4. Step 4: Simplify right side
    1,430.94x = 1,905,978.16
  5. Step 5: Solve for x
    x = 1,905,978.16/1,430.94
  6. Step 6: Final answer
    x = 1,331.98

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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.