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Finding the Fourth Proportional to 1,717.86, 2,368.86 and 1,470

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Solution

The fourth proportional to 1,717.86, 2,368.86 and 1,470 is: 2,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.86 : 2,368.86 = 1,470 : x
  2. Step 2: Convert to fraction form
    1,717.86/2,368.86 = 1,470/x
  3. Step 3: Cross multiply
    1,717.86x = 2,368.86 × 1,470
  4. Step 4: Simplify right side
    1,717.86x = 3,482,224.20
  5. Step 5: Solve for x
    x = 3,482,224.20/1,717.86
  6. Step 6: Final answer
    x = 2,027.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.