Home / 1,584.02-2,374.64-802.93

Finding the Fourth Proportional to 1,584.02, 2,374.64 and 802.93

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Solution

The fourth proportional to 1,584.02, 2,374.64 and 802.93 is: 1,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.02 : 2,374.64 = 802.93 : x
  2. Step 2: Convert to fraction form
    1,584.02/2,374.64 = 802.93/x
  3. Step 3: Cross multiply
    1,584.02x = 2,374.64 × 802.93
  4. Step 4: Simplify right side
    1,584.02x = 1,906,669.70
  5. Step 5: Solve for x
    x = 1,906,669.70/1,584.02
  6. Step 6: Final answer
    x = 1,203.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.