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Finding the Fourth Proportional to 1,510.64, 2,094.32 and 1,457.18

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Solution

The fourth proportional to 1,510.64, 2,094.32 and 1,457.18 is: 2,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.64 : 2,094.32 = 1,457.18 : x
  2. Step 2: Convert to fraction form
    1,510.64/2,094.32 = 1,457.18/x
  3. Step 3: Cross multiply
    1,510.64x = 2,094.32 × 1,457.18
  4. Step 4: Simplify right side
    1,510.64x = 3,051,801.22
  5. Step 5: Solve for x
    x = 3,051,801.22/1,510.64
  6. Step 6: Final answer
    x = 2,020.20

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.