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Finding the Fourth Proportional to 1,518.16, 2,275.62 and 1,030

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Solution

The fourth proportional to 1,518.16, 2,275.62 and 1,030 is: 1,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.16 : 2,275.62 = 1,030 : x
  2. Step 2: Convert to fraction form
    1,518.16/2,275.62 = 1,030/x
  3. Step 3: Cross multiply
    1,518.16x = 2,275.62 × 1,030
  4. Step 4: Simplify right side
    1,518.16x = 2,343,888.60
  5. Step 5: Solve for x
    x = 2,343,888.60/1,518.16
  6. Step 6: Final answer
    x = 1,543.90

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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.