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Finding the Fourth Proportional to 1,716.48, 2,368.76 and 930.53

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Solution

The fourth proportional to 1,716.48, 2,368.76 and 930.53 is: 1,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.48 : 2,368.76 = 930.53 : x
  2. Step 2: Convert to fraction form
    1,716.48/2,368.76 = 930.53/x
  3. Step 3: Cross multiply
    1,716.48x = 2,368.76 × 930.53
  4. Step 4: Simplify right side
    1,716.48x = 2,204,203.51
  5. Step 5: Solve for x
    x = 2,204,203.51/1,716.48
  6. Step 6: Final answer
    x = 1,284.14

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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.