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Finding the Fourth Proportional to 1,707.53, 2,353.91 and 1,470.45

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Solution

The fourth proportional to 1,707.53, 2,353.91 and 1,470.45 is: 2,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.53 : 2,353.91 = 1,470.45 : x
  2. Step 2: Convert to fraction form
    1,707.53/2,353.91 = 1,470.45/x
  3. Step 3: Cross multiply
    1,707.53x = 2,353.91 × 1,470.45
  4. Step 4: Simplify right side
    1,707.53x = 3,461,316.71
  5. Step 5: Solve for x
    x = 3,461,316.71/1,707.53
  6. Step 6: Final answer
    x = 2,027.09

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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.