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Finding the Fourth Proportional to 2,346.63, 3,506.51 and 1,788.26

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Solution

The fourth proportional to 2,346.63, 3,506.51 and 1,788.26 is: 2,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.63 : 3,506.51 = 1,788.26 : x
  2. Step 2: Convert to fraction form
    2,346.63/3,506.51 = 1,788.26/x
  3. Step 3: Cross multiply
    2,346.63x = 3,506.51 × 1,788.26
  4. Step 4: Simplify right side
    2,346.63x = 6,270,525.10
  5. Step 5: Solve for x
    x = 6,270,525.10/2,346.63
  6. Step 6: Final answer
    x = 2,672.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.