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Finding the Fourth Proportional to 2,430.98, 3,356.37 and 1,870.46

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Solution

The fourth proportional to 2,430.98, 3,356.37 and 1,870.46 is: 2,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.98 : 3,356.37 = 1,870.46 : x
  2. Step 2: Convert to fraction form
    2,430.98/3,356.37 = 1,870.46/x
  3. Step 3: Cross multiply
    2,430.98x = 3,356.37 × 1,870.46
  4. Step 4: Simplify right side
    2,430.98x = 6,277,964.22
  5. Step 5: Solve for x
    x = 6,277,964.22/2,430.98
  6. Step 6: Final answer
    x = 2,582.48

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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.