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Finding the Fourth Proportional to 1,667.16, 2,300.01 and 1,077.48

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Solution

The fourth proportional to 1,667.16, 2,300.01 and 1,077.48 is: 1,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.16 : 2,300.01 = 1,077.48 : x
  2. Step 2: Convert to fraction form
    1,667.16/2,300.01 = 1,077.48/x
  3. Step 3: Cross multiply
    1,667.16x = 2,300.01 × 1,077.48
  4. Step 4: Simplify right side
    1,667.16x = 2,478,214.77
  5. Step 5: Solve for x
    x = 2,478,214.77/1,667.16
  6. Step 6: Final answer
    x = 1,486.49

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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.