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Finding the Fourth Proportional to 2,430.40, 3,354.18 and 1,545.88

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Solution

The fourth proportional to 2,430.40, 3,354.18 and 1,545.88 is: 2,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.40 : 3,354.18 = 1,545.88 : x
  2. Step 2: Convert to fraction form
    2,430.40/3,354.18 = 1,545.88/x
  3. Step 3: Cross multiply
    2,430.40x = 3,354.18 × 1,545.88
  4. Step 4: Simplify right side
    2,430.40x = 5,185,159.78
  5. Step 5: Solve for x
    x = 5,185,159.78/2,430.40
  6. Step 6: Final answer
    x = 2,133.46

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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.