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Finding the Fourth Proportional to 1,319.69, 1,980.45 and 1,047.53

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Solution

The fourth proportional to 1,319.69, 1,980.45 and 1,047.53 is: 1,572.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.69 : 1,980.45 = 1,047.53 : x
  2. Step 2: Convert to fraction form
    1,319.69/1,980.45 = 1,047.53/x
  3. Step 3: Cross multiply
    1,319.69x = 1,980.45 × 1,047.53
  4. Step 4: Simplify right side
    1,319.69x = 2,074,585.74
  5. Step 5: Solve for x
    x = 2,074,585.74/1,319.69
  6. Step 6: Final answer
    x = 1,572.02

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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.