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Finding the Fourth Proportional to 1,547.56, 2,332.91 and 1,416.21

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Solution

The fourth proportional to 1,547.56, 2,332.91 and 1,416.21 is: 2,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.56 : 2,332.91 = 1,416.21 : x
  2. Step 2: Convert to fraction form
    1,547.56/2,332.91 = 1,416.21/x
  3. Step 3: Cross multiply
    1,547.56x = 2,332.91 × 1,416.21
  4. Step 4: Simplify right side
    1,547.56x = 3,303,890.47
  5. Step 5: Solve for x
    x = 3,303,890.47/1,547.56
  6. Step 6: Final answer
    x = 2,134.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.