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Finding the Fourth Proportional to 2,434.95, 3,655.16 and 975.13

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Solution

The fourth proportional to 2,434.95, 3,655.16 and 975.13 is: 1,463.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.95 : 3,655.16 = 975.13 : x
  2. Step 2: Convert to fraction form
    2,434.95/3,655.16 = 975.13/x
  3. Step 3: Cross multiply
    2,434.95x = 3,655.16 × 975.13
  4. Step 4: Simplify right side
    2,434.95x = 3,564,245.81
  5. Step 5: Solve for x
    x = 3,564,245.81/2,434.95
  6. Step 6: Final answer
    x = 1,463.79

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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.