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Finding the Fourth Proportional to 1,486.17, 2,036.03 and 1,430.78

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Solution

The fourth proportional to 1,486.17, 2,036.03 and 1,430.78 is: 1,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.17 : 2,036.03 = 1,430.78 : x
  2. Step 2: Convert to fraction form
    1,486.17/2,036.03 = 1,430.78/x
  3. Step 3: Cross multiply
    1,486.17x = 2,036.03 × 1,430.78
  4. Step 4: Simplify right side
    1,486.17x = 2,913,093.67
  5. Step 5: Solve for x
    x = 2,913,093.67/1,486.17
  6. Step 6: Final answer
    x = 1,960.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.