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Finding the Fourth Proportional to 2,425.16, 3,347.12 and 1,430.68

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Solution

The fourth proportional to 2,425.16, 3,347.12 and 1,430.68 is: 1,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.16 : 3,347.12 = 1,430.68 : x
  2. Step 2: Convert to fraction form
    2,425.16/3,347.12 = 1,430.68/x
  3. Step 3: Cross multiply
    2,425.16x = 3,347.12 × 1,430.68
  4. Step 4: Simplify right side
    2,425.16x = 4,788,657.64
  5. Step 5: Solve for x
    x = 4,788,657.64/2,425.16
  6. Step 6: Final answer
    x = 1,974.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.