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Finding the Fourth Proportional to 1,646.16, 2,271.02 and 1,056.48

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Solution

The fourth proportional to 1,646.16, 2,271.02 and 1,056.48 is: 1,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.16 : 2,271.02 = 1,056.48 : x
  2. Step 2: Convert to fraction form
    1,646.16/2,271.02 = 1,056.48/x
  3. Step 3: Cross multiply
    1,646.16x = 2,271.02 × 1,056.48
  4. Step 4: Simplify right side
    1,646.16x = 2,399,281.93
  5. Step 5: Solve for x
    x = 2,399,281.93/1,646.16
  6. Step 6: Final answer
    x = 1,457.50

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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.