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Finding the Fourth Proportional to 1,430.95, 1,973.80 and 927.46

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Solution

The fourth proportional to 1,430.95, 1,973.80 and 927.46 is: 1,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.95 : 1,973.80 = 927.46 : x
  2. Step 2: Convert to fraction form
    1,430.95/1,973.80 = 927.46/x
  3. Step 3: Cross multiply
    1,430.95x = 1,973.80 × 927.46
  4. Step 4: Simplify right side
    1,430.95x = 1,830,620.55
  5. Step 5: Solve for x
    x = 1,830,620.55/1,430.95
  6. Step 6: Final answer
    x = 1,279.30

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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.