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Finding the Fourth Proportional to 2,159.40, 2,981.54 and 1,495.10

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Solution

The fourth proportional to 2,159.40, 2,981.54 and 1,495.10 is: 2,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.40 : 2,981.54 = 1,495.10 : x
  2. Step 2: Convert to fraction form
    2,159.40/2,981.54 = 1,495.10/x
  3. Step 3: Cross multiply
    2,159.40x = 2,981.54 × 1,495.10
  4. Step 4: Simplify right side
    2,159.40x = 4,457,700.45
  5. Step 5: Solve for x
    x = 4,457,700.45/2,159.40
  6. Step 6: Final answer
    x = 2,064.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.