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Finding the Fourth Proportional to 1,501.78, 2,072.70 and 912.40

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Solution

The fourth proportional to 1,501.78, 2,072.70 and 912.40 is: 1,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.78 : 2,072.70 = 912.40 : x
  2. Step 2: Convert to fraction form
    1,501.78/2,072.70 = 912.40/x
  3. Step 3: Cross multiply
    1,501.78x = 2,072.70 × 912.40
  4. Step 4: Simplify right side
    1,501.78x = 1,891,131.48
  5. Step 5: Solve for x
    x = 1,891,131.48/1,501.78
  6. Step 6: Final answer
    x = 1,259.26

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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.