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Finding the Fourth Proportional to 1,313.90, 1,975.65 and 1,102.70

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Solution

The fourth proportional to 1,313.90, 1,975.65 and 1,102.70 is: 1,658.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.90 : 1,975.65 = 1,102.70 : x
  2. Step 2: Convert to fraction form
    1,313.90/1,975.65 = 1,102.70/x
  3. Step 3: Cross multiply
    1,313.90x = 1,975.65 × 1,102.70
  4. Step 4: Simplify right side
    1,313.90x = 2,178,549.26
  5. Step 5: Solve for x
    x = 2,178,549.26/1,313.90
  6. Step 6: Final answer
    x = 1,658.08

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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.