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Finding the Fourth Proportional to 1,746.60, 2,412.63 and 1,453.38

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Solution

The fourth proportional to 1,746.60, 2,412.63 and 1,453.38 is: 2,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.60 : 2,412.63 = 1,453.38 : x
  2. Step 2: Convert to fraction form
    1,746.60/2,412.63 = 1,453.38/x
  3. Step 3: Cross multiply
    1,746.60x = 2,412.63 × 1,453.38
  4. Step 4: Simplify right side
    1,746.60x = 3,506,468.19
  5. Step 5: Solve for x
    x = 3,506,468.19/1,746.60
  6. Step 6: Final answer
    x = 2,007.60

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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.