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Finding the Fourth Proportional to 2,430.42, 3,645.41 and 1,043.51

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Solution

The fourth proportional to 2,430.42, 3,645.41 and 1,043.51 is: 1,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.42 : 3,645.41 = 1,043.51 : x
  2. Step 2: Convert to fraction form
    2,430.42/3,645.41 = 1,043.51/x
  3. Step 3: Cross multiply
    2,430.42x = 3,645.41 × 1,043.51
  4. Step 4: Simplify right side
    2,430.42x = 3,803,998.34
  5. Step 5: Solve for x
    x = 3,803,998.34/2,430.42
  6. Step 6: Final answer
    x = 1,565.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.