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Finding the Fourth Proportional to 2,430.63, 3,376.78 and 2,407.86

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Solution

The fourth proportional to 2,430.63, 3,376.78 and 2,407.86 is: 3,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.63 : 3,376.78 = 2,407.86 : x
  2. Step 2: Convert to fraction form
    2,430.63/3,376.78 = 2,407.86/x
  3. Step 3: Cross multiply
    2,430.63x = 3,376.78 × 2,407.86
  4. Step 4: Simplify right side
    2,430.63x = 8,130,807.47
  5. Step 5: Solve for x
    x = 8,130,807.47/2,430.63
  6. Step 6: Final answer
    x = 3,345.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.